Every year, there are a few 90+ win teams that miss the playoffs. Here is the list for this year's tournament.
70M
contrarian23 - 91 wins
80M
none
90M
gorbyruss - 90 wins
100M
brianjw - 91 wins
bomain - 91 wins
dougpalm - 90 wins
110M
wetwillytwo - 92 wins*
togi20 - 90 wins
120M
The Taint - 91 wins
* Oddly enough, wetwillytwo's 92-win team was only the 5th best record in the NL. There were 5 teams in the NL that 68 or fewer games. And it's not like there was an 83 win team win a division in the AL. The AL playoff teams won 100, 96, 95 and 91 games.