The first 'proper' band that I saw was The Pretenders in 1981. They were in the middle of their heroin addiction period and were gash - they were disinterested and just wanted to get through their set as fast as they could.
I saw U2 and Simple Minds in the same 2000 person venue - Leeds University Union (a clue there for Inspector Mikey in his quest to out me as a fake lawyer). I also saw Public Image Limited there - incredible - but the best of all was a Lindisfarne Christmas Concert. Incredibly twee an unfashionable, but a lot of fun and they went on until the venue management cut them off.
More recently, I saw Ed Sheeran at Roundhay Park last year. A very talented chap.