How long have you got for the trip?
Is it a day trip (two hours or less direct drive each way), or are you taking a couple of days in the area?
If you have more than a day, try driving around the East Neuk of Fife to see the fishing villages.
Just a day trip
Take the train instead?
If you prefer to drive, head early for Falkland Village and Falkland Palace on your way to St Andrews. A couple of nice cafes in the village. Then the various fishing villages of the East Neuk on the way back in the evening. Fish and chips at the chippy in Anstruther. There's a lot more than that in Fife obviously, but this is about achievable in one day. Depends how much you want to do in St Andrews itself.
Rudyard this sounds vey interesting.
Thanks for the links
Will plan around these
I hope this isn’t the only reason you’re the hiring the car that you have nowhere to park!