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I used a Blues Jr years ago when it was introduced. Guitar tone is the player more than the gear, but the BJ is a nice compact amp.
If you're looking for the "Fender" sound, get a 65 DRRI(Deluxe Reverb Reissue)
It will have the tube reverb which the Blues Jr doesn't, and relatively the same cirucuit (with the exception of it being a circuit board) as the original. It's also tube rectified, which contributes to the "Fender sound."
DR is like half a twin(which is overkill ) and will be all you'll ever need-a single 12: driver. 22 watts of tube power that has been used by just about EVERY player in studio or live setting since the 60's.
Used can be had for $600 if you look around.