Here's a list of achievements for getting lucky with your dice rolls.

D20 Achievments:

It's easy as ABC: Roll a 1, then a 2, then a 3 in that order.

PI: Roll three 14's in a row.

1337 Skeet: Roll a 13, then a 3, then a 7 in that order OR Roll a 1, then a 3, then a 3, then a 7 in that order.

Satanic Rolls: Roll three 6's in a row.

Atleast you can count: Roll a 1, then a 2, then a 3, then a 4, and then a 5 in that order.

Pure Luck: Roll three 7's in a row.