Spidey, I haven't played St Andrews Old, New or Jubilee, so can't comment first hand - but assuming you can't get on the Old Course, those I know who have played the New highly recommend it.
I've played the Devlin @ St Andrews Bay, and seen some of the holes on the Torrance. The Devlin is "OK", and the Torrance looks the same, but they are not "must play" courses.
Kingsbarns, however, is - play this if you can. it's a cracker. I don't know if you hail from Scotland or not, but if you and your companions can prove Scottish residence, you can get on for around £68 each (although you can only book 2 weeks in advance under this scheme).
A few miles beyond Kingsbarns is Crail (Balcomie) - this is another fantastic links course, and another definitely worth playing.