Day of the week of the next Feb 29th
Windows PowerShell, 65
Fairly straightforward.
filter f{for($d=date $_;($d+='1').day*$d.month-58){}$d.dayofweek}

As usual, we can shave off two bytes if we are willing to wait a long time till completion:
filter f{for($d=date $_;($d+=9).day*$d.month-58){}$d.dayofweek}

Test:
&gt; '0001-01-01','1899-12-03','1970-01-01','1999-07-06','2003-05-22','2011-02-17','2100-01-01'|f
Sunday
Monday
Tuesday
Tuesday
Sunday
Wednesday
Friday

History:

2011-02-18 00:06 (65) First attempt.