I have a bit of vintage radio and TV stuff from the U.S and often forget that it was designed for 60 cycles. Never had problems with any of it. Transformers don't run hot. Things with an electronic digital clock can be configured for either frequency as the clock chip has a pin you take high or low depending on mains frequency.
If I do eventually get something that really does need the 60c/s (clock, tape deck, or record player with induction motor),I'd simply buy an 12-120V inverter off eBay in the U.S and feed it from a 240-12VDC power supply.