Not necessarily from the start of the season, but...
Slumps: a mental battle hitters: frustration of not getting on base and failure to help their teams offensively, create a psychological challenge for batters - page 4 | Baseball Digest
It's kinda surprising to see how many really good players are on this list (Aparicio, Jackson, Morgan, Ripken, Schmidt, Jeter, Ventura) - then again, maybe it isn't, since if they weren't good players, they probably would've been benched before the streaks got that long.