There was a player with a 37 game hitting streak in my league (in one season, not over two)
I personally had a player with a 36 game hitting streak, then this year, he had another one of 24.
On the undefeated starts front, my same pitcher had one of 29 games over two years (and not this season). He didn't lose for almost a year. Believe it or not, that's not the league record. Someone else had one of 30 games over those same two years. Screwed my guy out of the Cy Young one of the two years
At least it was realistic though, they voted the guy in on wins when my guy had him in every other category