I'm also not a huge anime fan, so my interests in the genre are pretty selective. The anime shows that I tend to enjoy are ones that usually aren't ongoing stories, and wrap up their narrative lines within a season or two. That said, I absolutely loved Hellsing and Hellsing: Ultimate (which is a sort of "reimagining" of the original series, if I recall correctly). They've got some of the most entertaining action scenes I've seen. The CastleVania series on Netflix is also pretty fun, though it starts to get pretty weird in the later seasons (though I'm feeling hopeful for the new CastleVania series that they just teased). I've also recently enjoyed Chainsaw Man, and am pretty excited for the next season to come out.
I also highly recommend Redline. It's not a series, but a standalone film, and it's one of my favorite movies ever. If you're at all familiar with the F-ZERO games, think of that, but as an anime.