That could be just about any tee
If you want lighter weight t-shirts, you should check out alternativeapparel.com.
Also, when you're looking at Fruit of the Loom, Hanes, Jerzees, Gildan, Port and Company, just look for the lighter weight tees and get some samples (under 6 oz would be considered a "lighter" weight tee).
Most brands will come with the manufacturers tag, but you can have that removed and replaced with your own brand tag pretty easily.