I have found a way to remove the logo from cheap Starter brand under suit from Wally-World.
All I used was Goof Off and some cotton swabs
This is what it looked like before
By starwaresnoah at 2012-01-06
I applied a small dab onto the cotton swab
By starwaresnoah at 2012-01-06
Then rubbed gently on the printed logo until it began to curl up.
By starwaresnoah at 2012-01-06
I then just lightly scrapped at it with my thumbnail.
By starwaresnoah at 2012-01-06
And after about 3 minutes of repeating this process on the entire logo, I achieved this.
By starwaresnoah at 2012-01-06
Only a faint outline of where the logo was remains and I believe it may come out in the wash.
I hope this helps out.