As of July 2015 a popular sheet set at Target is the Room Essentials Easy Care Sheet Set, which comes with two pillowcases, one flat sheet and one fitted sheet. Another popular option is the Threshold 300 Thread Count Organic Cotton Sheet Set.
For those in search of higher thread count, Target offers the Elite Home Delray Damask 600 Thread Count 6-Piece Sheet Set. This set is available in full, queen, king and California king sizes and includes one fitted sheet, four pillowcases, and one flat sheet. Finally, the Peak Performance Fleece Sheet Set is particularly useful for colder climates and comes in a variety of solid colors.