Needing to replace t 80 thermostat

And? You buy another one and replace according to instructions. That is an old ITT stat.

I, also, need to replace a t-80 thermostat, but I can't find any. It's probably 60 years old; is there a newer thermostat type that's used to replace the T-80?

You won't, extinct many years ago. Is it heat only or Heat and AC? Just go to Home Depot or Lowe's and they can cross reference it. I don't have anything that old referenced.