I had a look at the FT-757GX. It has a couple of issues but one I thought was worth a mention. While doing some initial testing the 757 switched off and would not come back on. Basic circuit looks simple. A relay with 13.8V in series with thr on-off switch on one side of the coil and a NPN transistor (Q10) collector with grounded emitter on the other. Base of Q10 is connected to the 13.8V from the on-off switch with series 10k resistor.

Grounding the collector of Q10 turns the radio on. Check of the switch showed poor contact with a couple of hundered ohms. A drop of switch cleaner sorted that, though it probably wasn't the primary fault.
I pulled the PA board, which has the power circuit and relay on it, out for better access and confirmed the fault with just the power lead connected and shorting J04, the power switch connector and confirming no click fron the relay. Q10 base voltage was 0V without J04 shorted and 0.7V with the short (switch on). So that looked OK. Pulled the transistor and put it on a basic transistor tester. It looked OK, reported as NPN with Hfe 138. But what is the specification? It's a 2SD892R. That is a darlington so the Vbe and Hfe are clearly wrong even without consulting the data sheet. So I put it on my Peak DCA75 Pro semiconductor tester This confirmed the low Vbe & HFE and did not identify it as a darlington. That looks like the input transistor of the darlington pair has a base emitter short. So I replaced it. The 2SD892x are pretty rare but like most darlington circuits it's not critical. I replaced it with a ZTX600. I chose this as it is a favorite of mine for driving coils and I had stock. So checked the PA board and got a relay click.

So I put it back in the radio connected everthing up and... the radio won't turn on

Only 0.7V on the base. Now there is another bit of circuitry around the base of Q10. A diode (D8) and 470 ohm resistor from the normally open contact (13.8V with radio on) Which seems to be there to keep the transistor hard on once the relay closes. More puzzlingly, there another diode (D9) and 100 ohm resistor to a a circuit connection "PTT". What does this do? it clearly reduces the voltage on the base of the transistor Q10 when the PTT is active. But you would not want to turn the radio off when you press the PTT... A bit of analysis and thought indicates that this is likely to prevent turning the radio on with the PTT active.
I could not find any mention of this feature in any of the manuals.
Some measurements indicated the PTT line was low, then I noticed the MOX button was depressed. Released that and power swich works as expected :-) MOX is a manual, latching, PTT switch on the front panel. I must have pressed it whle taking the radio apart.
I had very nearly torn the set apart again....
Robert G8RPI.