I've got a 1993 Trek 700 that is a gravel mutt. My only complaint is that the 1" sealed bearing threadless headset seems to require more frequent tightening than it should. Is this a common problem? Short of converting to threadless, is there a good fix?
All the bikes we have are threaded (I presume you meant you have a treaded headset?) and I far prefer threaded to threadless (allows for much for adjustability of bar height -- only down side being they cost more to manufacture).
First thing to check is that it has been properly adjusted. If you are adjusting it yourself, have a headset wrench (32 is a common size for 1") and a crescent wrench to work the lock nut. Watch videos on YouTube for adjusting treaded headsets and work from there. Basic concept is to loosen the locknut, tighten the headset nut as snug as you can, then back off half turn or so until the wheel turns easily/smoothly/without wiggle, then hold the headset nut in place and tighten the locknut.
If you have any doubts, take it to your LBS and ask them to adjust it.
Once it's properly adjusted you can then figure out if the headset needs replacing (likely if you still have problems) or if it was just out of adjustment.