Nice idea about the record player! But it'll be more like 50 years than 60 years I should think, if it has radios and stuff built in, and uses a diamond or ceramic stylus rather than a steel needle.
Incidentally, if you have any records that are valuable do NOT play them! Those old music centres were great for trashing vinyl/shellac at the best of times, and if it's not set up properly it can do a lot of damage, and if you're using an old stylus chances are they'll be ruined very quickly. You're unlikely to have anything worth $$$ but be careful! Basically if it's Blues don't play it without checking up on it, and some jazz is sought after too. Anything with Robert Johnson written on it keep safe.
