I wouldn't really call myself a big anime fan (I've enjoyed some of the more known hits), but recently I've found myself really enjoying a few series so I figured I'd open it up here for more recommendations. I'm going to structure this for things I've enjoyed recently as well as things from ~13ish years ago (about the only two times I've really explored the medium).
Recent things I enjoyed a lot:
- Frieren
- Little Witch Academia (Movies and Television show)
- Cyberpunk: Edgerunners
- Promare
Recent things I thought were decent:
- Kill La Kill
Past things I really enjoyed:
- Gurren Lagann
- Fullmetal Alchemist: Brotherhood
- Code Geass
- Black Lagoon
- Cowboy Bebop
- Neon Genesis Evangelion
Past things I thought were decent:
- Soul Eater
- Claymore
- Monster
To try to help people hone in more I'm a big fan of fantasy settings (no isekai stuff please unless you have a really, really compelling reason for it) and I'm open to most genres. I've found that I like Studio Trigger stuff a good bit so if there are movies/series there that people also feel strongly about I'm especially open to those recommendations but I'm really open to most suggestions from people on this site as I imagine it'll filter out most of the chud-appealing/serviced content.
Delicious in Dungeon is where I'm headed next due to the overwhelming number of recommendations here. BNA will likely follow that because of your description.
I've already seen Edgerunners and was a massive fan (watching it after not watching anime for a long time kinda kick-started this whole thing).
I'm trying to think a little out of the box in terms of personality and vibes here to try and give you some diversification away from the Trigger anime style... Megalo Box might be a good one to look at. If I were going to compare it to anything in your list I would say Megalo Box is the closest thing to the vibes and groundedness of Cowboy Bebop. It's gorgeous and uses music very similarly.
I found a YouTube link in your comment. Here are links to the same video on alternative frontends that protect your privacy: