This will not be counting polybags or boxed collections.
Imperial TIE Fighter: 4 regular sets (2003, 2005, 2012, 2018) and a UCS in 2015.
TIE Bomber: One from 2003.
TIE Interceptor: One from 2006 and a UCS in 2000.
Darth Vader's Advance TIE: 3 regular sets (1999, 2009, 2016) and a UCS in 2006.
TIE Crawler: Only one from 2007
TIE Defender: Only one form 2010
TIE Striker: One from 2016
If we get a UCS TIE Bomber, it would complete the original TIE family since we've got one for Vader's/Advance, Interceptor, and the normal TIE.