The one one the left might be IF (intermediate frequency) modulation coils for possible the 10.7 mhz or the something khz superhet mixer stages. Miller coils used to make these, I have one I picked up for $.50 and haven't found a use for. You could possible sell this off on an antique radio repair website.
On the right, there are a zillion non-standard transformers. I have built a jig involving fuses in and out, a 24 VAC transformer, a wall plug , test jig and series resistor (6 ohm 130 watt), for testing transformers at 60 hz to see what winding ratio they are. If heavy containing iron, might be 60 hz, if light, maybe some other frequency. New 60 hz transformers are so expensive now, with everybody going to xxxxxx hz switchers that might emit RF to your audio, that it is becoming worthwhile to examine old junk transformers for function instead of buying new ones.