I've 'won' five AM/FM tuners from the same source - a small hotel where they were used for the bedroom radio distribution system. One works fine - the others all have the same fault(s). They are Goodmans brand, made in Korea, Model GST5200 and are PLL synthesised tuning. I'd say they date from the early '90s by the construction - no surface mount and obsolete logic chips.
They all appear to tune (by the display) and the memory for the push buttons work too. The AM and FM sections are totally separate apart from the tuning. There is shash on the outputs, but tuning appears to make no difference to either AM or FM.
Normally I'd just bin them but if it's the same fault on all it might be just worth the bother of fixing them as they look straight out of the box, and the working one sounds fine.