Did this happen with your old white undershirts? Or just with the new ones?
For you two above, I can never wear a shirt without something under it. In the winter that's a proper T-shirt, in warmer months (really anything over 50F) an A-shirt or tank top.
Hell, I even wear an undershirt under my t-shirts.
*I realize I may be nuts, but it's a little to much like not wearing underwear.