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👍)
I've never been a huge weeb, so my frame of reference for OPs is rather lacking.
That being said, I really enjoy Nichijou's opening. it's got the kind of strong melody and beat I like to listen to, and it captures the mundane/surreal insanity of the show really well.