Can I repurpose a 60 Amp heating circuit for standard outlets?
If the circuit is in good shape there is no reason you cannot change out the breakers and turn it into 2 120V 20 or 15 amp circuits. I am assuming of course that the 60A circuit is a 240V circuit and has a neutral and ground. If it does not have this configuration then you could use the circuit as 1 20 or 15 amp circuit, assuming of course that you have a ground connection also.

Another option would be to leave it in place and install a sub panel in the basement and use it to distribute power throughout the basement and leave extra spaces for future work. Once again you must have the correct number of conductors.

Good luck.