Okay, so you have multiple fiber fabric.
Let's discuss cotton first. Some of the differences in 100% cotton t-shirts:
- short versus long fibers -- sea island cotton and Egyptian cotton are extra long staple [ELS] cotton; they have LONG STRONG fibers; pima comes next with having long fibers
- whether the cotton is combed or not -- combing the raw cotton gets rid of some of the short fibers and makes all the fibers go in the same direction, this makes the yarn feel smoother and softer
- The density of the fabric -- the yarn/threads per inch will affect the durability and feel
Polyester is made as a by-product from oil refining. Modern technology has gotten good at simulating different effects from this source of yarn.
Rayon is soft, but not especially durable. From Wikipedia:
Rayon is a manufactured regenerated
cellulose fiber. Because it is produced from naturally occurring
polymers, it is neither a truly
synthetic fiber nor a
natural fiber; it is a semi-synthetic fiber. ...Rayon is a very versatile fiber and has the same comfort properties as natural fibers. ...The durability and appearance retention of regular rayon are low...
These synthetic fibers can make something that feels good and looks good on day 1, but will not necessarily hold up with regular laundering. Probably, the American Apparel tri-blend has the softer vintage feel because it pairs the softness of the rayon with the strength of the polyester.
The soft 50/50 t-shirts are using a higher-quality polyester that is designed for softness, where other brands are using the cheapest polyester.
I've seen some success for achieving a vintage look by stone-washing an Egyptian cotton t-shirt. Egyptian cotton is very durable and soft.