If it were me I'd look for an early 50s Garrard auto changer, or even a late 40s one, at least then it wouldn't look too out of place, especially if it was a dark one with the brown turntable felt.
Knobs and tuning glass can be improvised to a degree. Amp and radio wise I'd look for something from the 40s also. If you were electrically minded you could even try and lash together an amp using the same valve line up
My fear of putting high fidelity modern parts in there is you may well be disappointed when you do find the original parts!