I found this nice link that I think I'm going to start using to I can keep up with what's going on around L.A. when it comes to music. I like my jazz and I'd like to find places to sit and watch a live show from time to time, maybe get to know some of the local musicians.
It's L.A. Times - Calendar Live.
What I like is that you can put in what type of event you'd like (music, art stage, movies, etc.), what area you're looking to visit and what date. The only problem is you can only search within a 7 day time frame. It will come up with a search result.
I'm going to use this and if you're around L.A. looking for something to do, don't forget to check out this link.