A Nagoka at that price is very good , I think LP Gear is selling
them but they have no US distributor at present . Nagoka MP-110 is very good on Classical and at 120$ is a real bargain . Next step up is Goldring 2100 at 230$ which will unravel a symphony bit better than the Nagoka MP-110 but sounds similar, not surprising since Nagoka makes them .Both have a full robust sound pretty much across their range.
If they have a speaker that could use a bit of mid-range emphasis a Grado Red or Blue is good as well.
IMO , the various cheaper AT and Ortofons are a bit bright for classical .