One thing I've really gotten to like about anime music is that rock/punk seems to still be pretty popular in Japan, whereas it's been virtually entirely replaced by rap/autotuned club music here in the US. I can't understand a lick of the lyrics, but a ton of anime has really catchy and upbeat punk, and as a 90s teen, it brings back fond memories. I'm a (marginal to average) drummer and a lot of the songs aren't too hard to play and a ton of fun.
I'll start by saying Tu Love Ru's season one opener "Forever we can make it" by THYME (also the animation that goes with it in the show is👍)
Wasn't the pacing of that anime too slow for you? I would want to recommend that anime to as many people as I like but the fact that it takes a bit while to get really interesting made me very hesitant to recommend it.
Sure its no hellsing but the pacing wasnt that bad, animes like recincarnated as a slime are way too slow and have way too many meeting scenes etc. But I also sit through the bookworm anime which had 3 seasons I think and liked that a lot. Not sure anymore if I complained once about shiki pacing. Thats more than a year ago then.