I have a lot of shows that I really like. Most are action, but You watch all kinds of shit so I'll just list everything I have saved on my PC.
These are Action series.
Ajin - About "Demi Humans". People that can't die. Technically they always were people (families and everything), but upon their death, they re-awaken. Tons of action.
Boku no Hero Academia - 50% of all people have super powers. This kid is a HUGE fan of the world's strongest hero and can't wait, but his powers never unlock. Now what? This show is incredible.
DanMachi - Guy lives in another world that has adventurers that fight in a dungeon. They actually earn experience and gain levels in this real world. The story focuses on a failure of a house that has the best adventurer.
Darling in the FranXX - It's a giant mech show where guy/girl combo are needed to pilot the suit, and you pretty much have to fuck to do it. Dumb concept, but great show.
Goblin Slayer - Action. Goblins are the easiest creatures, and this guy is a badass killer that HUNTS THEM DOWN at all costs.
Gundam Build Fighters - Show about these Gundam models they sell in store. Building a model will allow you to pilot it in this VR game system, and everyone battles each other with their self-built model Gundams.
Hai to Gensou no Grimgar - Pulled into another world, but people don't remember their real lives. The story focuses on a team that really isn't good at anything. They SUCK. Huge newbs, but good story.
Isekai Maou to Shoukan Shoujo no Dorei Majutsu - This guy is a "Demon Lord" in a game, and hugely powerful. He gets summoned to another world to be the super powerful demon lord over there with a harem of chicks.
Log Horizon - It's another action stuck in the game type of show. I really like the creativity.
Made in Abyss - Fucked up show about kids going into a cave and just getting horribly maimed.
No Game No Life - Summoned to a new world where EVERY dispute is settled with a game. The 2 summoned people have never lost a game before.
One-Punch Man - This guy is super OP. You may have guessed by his name, but he can beat any bad guy with a single punch.
Re Creators - Show about all these manga, anime, game and light novel characters coming to life in the real world. I really liked the concept of this one.
Re Zero kara Hajimeru Isekai Seikatsu - I don't even know how to describe it, except it's a GREAT show. Kid somehow appears in a new world and has to figure out what's going on. A few "Best Girl"s in this show.
Sword Art Online - Hands down the most well known "stuck in a game" style show. It rules. Everyone loves the best girl, Asuna.
Tate no Yuusha no Nariagari - Shield Hero was summoned to another world as a hero. Everyone shits on him, so how does he figure it out?
Tensei Shitara Slime Datta Ken - This guy gets killed IRL and reawakens in another world as a slime NPC. And he somehow gets really strong. Fun show.
The Irregular at Magic High School - I watched this a long time ago, but I don't remember much about it. I really liked it though, which is why I saved it.
Here are some drama series.
Ballroom e Youkoso - A show about a high school kid that joins a Dance Studio and learns how to ballroom dance.
Shigatsu wa Kimi no Uso - Story about this piano prodigy that can't play after his mom died. And this girl with a violin that brings him out of his depression.
Shokugeki no Soma - Cooking show. THE BEST SHOW!
Sports series.
Baby Steps - Show about high school Tennis. This kid is a HUGE nerd, and he turns Tennis into a game of math, and starts to dominate.
Haikyuu!! - Show about a high school indoor volley ball team. Such a great series.
Initial D - All about car racing with street cars.