Below is a list of the current Target Text Offers you can get:

Text to 872438

OFFERS (exp. 6/13/14)
CLEAN (exp. 9/7/14)
GRILL (exp. 7/9/14)
THANKS (exp. 7/9/14)
FOOD (exp. 6/7/14)
JUNE (exp. 6/7/14)
HOUSEHOLD (exp. 6/7/14)
DENIZEN (exp. 6/15/14)