It looks like that particular part is discontinued, but sharp does still make an S101S05F. No idea if compatible or not, wouldn't risk it without a datasheet comparison.
Having a beast of a time trying to find a datasheet for the S101S05F, and I don't want to 'create an account' at sharpsma.com to view from their library.
You could possibly try contacting their sales reps to see if they can send you the old datasheets.
-Hans
Good idea! The other SSR on the PCB is a S101SO4. I can check to see what kind of input voltage the other solid state relay on the PCB is getting, and compare to what gets fed to this relay. It looks like the NTE RS1-D30 should work, accepts 3-24VDC input and up to 280VAC 3A out, and is dimensionally similar to the Sharp part.
I recieved new speakers and a fan from HAPP today. I opened the old fan and oiled it several times, but it's still way too noisy

.
I'll keep the original (I keep everything I remove from a game! Well...except dirt, mouse poo, etc.

), but will put the new one in.