My league uses the following:
Hitting--Runs, HR, RBI, SB, OBP, SLG
Pitching--Wins, Strikeouts, Saves, Winning Percentage, ERA, WHIP
I think OBP and SLG are much better indicators of a quality hitter than batting average. With these categories, Barry Bonds was the best player in our league last year (huge OBP and SLG) by a comfortable margin over Pujols (great OBP and SLG also). In my opinion, that's a legitimate result.
Personally, I wouldn't want to go back to using Batting Average. If I'd switch from using both OBP and SLG, I'd use OPS as a single-category replacement for Batting Average.
Roger Angell: I was talking with Bob Gibson and I said: 'Are you always this competitive?' He said: 'Oh, I think so. I got a three-year old daughter, and I've played about 500 games of tic-tac-toe with her and she hasn't beat me yet.'