Amiga 500 intermittently reboots for no reason!

[orange]

That sounds to me like a keyboard controller problem (esp CapsLock blinking).
Mine a500 and many others (all?) have this problem: the plastic sheet that isolates controller pins from metal shielding can be pierced  with sharp pins and make shortcircuit. If that is the case, first check the two identical capacitors that are symmetrically located on pcb and use some extra isolation.

[orange]

@TjLaZer
hmmm, where did you get it NEW? I'm interested..

I also think he should disconnect the keyboard.
By isolating the keyboard, I mean putting some paper or plastic between keyboard controller and metal shield edge underneath it.

Have a look at it by (easily) removing the 512Kb cover on bottom of Amiga 500, you don't have to unscrew anything for that.
You'll see plastic insulator, make it thicker.

PS. orange is my nick  ;-)

[orange]

er, I think you really should NOT (un)plug keyboard while Amiga is ON, you could damage something.
IIRC the flashing capslock usually is an error code: number of blinks indicate the type of problem (for eg. two lines are short).
But not in this case, if its flashing very quickly.

If you got time and patience, its worth opening the keyboard (all those tiny screws) and checking if something like cocacola has damaged it.