xrichx saidMaybe. Might want to check their website. But from my observations, UA tends to be quite generous with plastering their logo all over their clothing.
If there's an American Apparel near you, check out the Track Shirt. Or if there's a military surplus store near you, check out the PT shirts. Those are fitted as well.
Last time that I checked, the UA code word for "no logo" was "tactical" garments. Or rather, they still had the logo, but it was the same color as the shirt. The only choices were black or white.
REI has a few fitted, (or at least not sized to conceal a beach-ball) synthetic Tees with no logo in their house brand. In the store, they have a lot of other stuff like that, but the prices seem like they must be part of a hidden-camera reaction gag.
BTW: One advantage to collecting a small wardrobe of lightweight synthetics (mostly "cotton-look") is that with a bit of layering you can go for weeks on travel by packing only two of everything in a fairly small bag. Well, actually only one of each goes in the bag, you wear the other. You can wash what you wore yesterday in a bathroom sink (or just stomp it around in the shower, if you're in a hurry) and it will drip dry while you sleep. Unless the weather is cold, you can mix and match the different layers and it will look like five or six different outfits. If it's cold, you wear it all.