My recs, roughly in order of what I’m predicting that you’ll like the best, based on what you said.

• Tengen Toppa Gurren Lagann - mechas, action, epicness, plot twists? Yeah, you got all of them, while you follow the story of a bunch of people raised underground, fighting their way up.
• Chainsaw Man - fast-paced action in a world full of demons. The protagonist merges with one, after living in shit since childhood, and that changes his life. Expect lots of humour, and the intro becoming an earworm.
• Kimetsu no Yaiba - historical-ish setting. The protagonist is a demon killer, who’s sided by his demonised sister (yup). Sword fighting, great visuals, interesting and atypical story.
• Dr. Stone - humanity has been petrified for thousands of years, and a single genius boy is trying to discover why, how, and how to revert it. The science there is 90% accurate, 10% fantasy.
• Fullmetal Alchemist: Brotherhood (2009) - you watched the “original” FMA (2003), right? This one has slightly better worldbuilding and plot, and it’s better grounded in the manga, although the homunculi are more relatable in the original.
• Noragami - the story of a stray god, a girl who can see spirits and gods, and the spirit of a dead boy.
• Mairimashita! Iruma-kun - protag gets sold to a demon by his parents. And the demon actually treats him better than they did. So he goes to school, alongside demons, while pretending to be one.
• Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka - a boy who wants to be a hero, fighting in a dungeon full of monsters, in a world where the gods descended and granted their blessing to mortals of their liking. Which gods? Yes. Romantic comedy with epic vibes.
• Kill la Kill - watch this one if you watched TTGL and liked it. Heavy nudity, but the same “vibe” as TTGL. Hard to explain without giving you spoilers.

A few classics that I feel like they should be mentioned, but don’t relate well to what you said that you liked:

• Sen to Chihiro no Kamikakushi - movie, not a series. About a girl who’s spirited away to a world full of yokai, trying to save her piggyfied parents.
• Tonari no Totoro - also a movie, not a series, about children who move to a suburban neighbourhood full of magical creatures.
• Neon Genesis Evangelion - psychological drama pretending to be a mecha anime.

Some old style isekais, since you mentioned that you liked Overlord:

• Log Horizon - also “transported into a game”, except that it happens with a fuckload of people at once. Most focus is how those people organise themselves in their former MMORPG, now real life, as well as how they handle the NPCs around them.
• Isekai Maou to Shoukan Shoujo no Dorei Majutsu - two girls in a fantasy world decide to summon someone, hoping to enslave him to help them out… only to get their magic deflected and end enslaved. The world is the same as the game world that the protagonist (the summoned guy) played.
• Re:Zero - protag gets transported to a fantasy world. He doesn’t know how or why. His main ability is to go back in time, when he dies; so he experiences death over and over and over.
• Mushoku Tensei - the protag starts as completely scum, but he gets slightly less worse over time. Great worldbuilding and characterisation.
• Benriya Saitou-San, Isekai ni Iku - a handyman gets transported into a swords-and-magic world. Big focus on character relationship.

I don’t recommend the anime, but check the manga if possible:

• Elfen Lied - a discussion on what makes a human “human”, morals, and the likes. The anime adaptation is rather poor to be honest, but the manga is decent. Content warning: gore, sexual violence, a girl pissing herself right off the bat.
• Hoshi no Samidare - a great story, but poorly animated, about a bunch of people trying to save the world from a giant biscuit hammer that you only see if you know about it, that’s going to hit Earth and destroy it. While subordinated to a girl who actually wants to destroy the world.

EDIT: GreenZanbato mentioned Tensei Shitara Slime Datta Ken, or “That Time that I Reincarnated as a Slime”. It’s also an isekai, roughly with the same vibe as Overlord; but the protagonist reincarnates as a slime, and he’s far more self-aware than dummy Ainz. The novels are also great to read.

☝️👊👨‍🦲

I’d recommend the movie Akira (1988). It’s pretty much a classic from the era of early anime, extremely detailed animation and official English dub.

Cowboy Bebop: Space noire, get to Jupiter Jazz part 1&2 before forming an opinion

Berserk (The 1997 version): A long burn, twist for the last two episodes

One-punch man: Comedy, overpowered main character but it’s handled very well. Kinda a criticism of other animes.

Evangelion

Two guilty pleasures: Code Geass (mechs), and Future Diary (Battle Royal/Hunger Games)

Serial Experiments of Lain!

Ghost in the Shell(1995) and the Stand Alone Complex series(2 seasons and a movie) are great.

These two show might not be like the other shows that your have watched yet these two or definitely my favourite.

Odd Taxi - Generally anime cast has this typical behaviour where their talking or behaviour would not be realistic like irl (for example, Full Metal Alchemist: Brotherhood). You might not notice it now or might have noticed it but odd taxi is totally different from all the other anime that I have watched in regards to this. The plot is simple yet the way it moves is totally interesting. The characters are written well for a 12 episode anime. You will definitely like it.

Ranking of Kings - I have not completed it yet but this anime is so wholesome and kinda moving ngl.

Since you have watched death note, watch Code Geass too. When I started watching anime, Assassination Classroom and Violet Evergarden were one of the anime that totally bought me in. You may like these too.

I’ve only seen a couple anime over the years, but I really enjoyed the Cyberpunk: Edgerunners on Netflix

I’ll give you two suggestions at opposite ends of the spectrum:

• Neon Genesis Evangelion is a wonderful show. It starts out as a giant robot series, but then moves in on examining how the characters are broken mentally (as in, they’re already broken, not let’s break stable people). Does have a tendency to depress people, but they generally feel it was a good experience.
• Just about any Studio Ghibli movie. Nausicaa of the Valley of the Wind, Princess Mononoke, Castle in the Sky, My Neighbor Totoro, Kiki’s Delivery Service, Howl’s Moving Castle. Some of these are more kids movies, but adults love them. Others have more adult themes. Stick to the ones directed by Hayao Miazaki. Warning: Grave of the Fireflys will make you cry and leave you devastated.

Assassination Classroom - Just finished watching this series and it’s one of the most heartwarming meditations on teaching and education wrapped in a batshit crazy premise of junior high kids being forced to kill their teacher before he destroys the world at the end of their school year. Made me cry a few times.

It sounds like you tend to like shows with good story lines, and don’t seem to mind older shows/animation as much. Simply based on their story telling, these are probably my 3 favorites.

• Monster (2004): The story revolves around Kenzo Tenma, a Japanese surgeon living in Düsseldorf, Germany whose life enters turmoil after getting himself involved with Johan Liebert, one of his former patients, who is revealed to be a dangerous serial killer.
• Ergo Proxy (2006): Set in a post-apocalyptic future where humans and AutoReiv androids coexist peacefully until a virus gives the androids self-awareness, causing them to commit a series of murders. Inspector Re-L Mayer is assigned to investigate, discovering a more complicated plot behind it that involves a humanoid species known as “Proxy” who are the subject of secret government experiments.
• Fruits Basket (1998, but the 2019 remake is miles better and more complete): This is a beautiful story about trauma, love, guilt, and belonging. Don’t be put off by the typical highschool slice of life trope. This is probably the most wholesome, heartwarming show I have ever watched. I’ve seen it 3 times, and on the most recent rewatch I cried the most. Probably every 1 of 4 episodes. I kept realizing subtle plot details I had never noticed before. It has great rewatch value.

Legend of the Galactic Heroes is a series with many episodes in which “…two interstellar states…are embroiled in a never-ending war…focuses on the exploits of rivals Reinhard von Lohengramm and Yang Wen-li, as they rise to power and fame in the Galactic Empire and the Free Planets Alliance…”

I see a lot of recommendations here, but here’s a couple that are off the track.

Sound! Euphonium

Silver Spoon

Terror in Resonance

Planetes

Texhnolyze

Kinos Journey - both series are great the 2nd is more like the original source

Mushishi

I’m gonna take some leaps If you like the mind games parts of death note (since you seem to like the first part) I recommend trying Kaiji. My personal fav and one that got me changing my expectation of anime. If you like DBZ I assume it’s the fighting. And even though the first assumption is people who like Anime probably will hate sports , sports anime are usually just tournaments for battling. If you want superpowers, I might recommend Kuruko No Basuke. I you want Mind Games, maybe One Outs. If you want something more modern, Haikyuu is a good shout. Classic sports anime would be Hajime no Ippo

A general shounen? Fate/Zero is pretty safe to try.

When it comes to recommendations, realistically there are lots of great anime movies to give yourself more context for what to watch

• Ghost in the Shell
• Akira
• Castle of Cagliostro
• Kara no Kyoukai
• Nausicaa Valley of the Wind

These are all just based on what you’ve mentioned but they’re still a lot of spectrum for anime you could enjoy but haven’t tried

I can’t believe no one’s recommended My Hero Academia! What a great show.