All the time as a kid (I'm 24 now).
Mine was exceedingly simple. One dice.
1-single
2-double
3-triple
4-K
5-'out'
6-HR
I used baseball cards to make my teams and would lay them out in their positions each inning. Had simple little scorecards I kept. Games were high scoring, obviously given the possible outcomes.
By the end, I had 10 teams playing 14 game seasons against each other.
I still remember how dominant this Aaron Myette card was in my 'league'.
