If you want something "more exciting than most regular classical" you just need to find the right conductors. At least that's my experience.
For example. If you want to listen to Bach, I recommend Karl Richter, Trevor Pinnock, Jordi Savall, or Glenn Gould.
Now that I think about it, there should be a discussion board for conductors somewhere here.
Thanks for the recommendations; I'll search those up tomorrow. I haven't searched around classical much, having been preoccupied with finding/searching around some metal stuff.