@mechy
Dont sweat it as they say..........although I feel you were partly responsible for not asking the right questions.....but I feel this guy maybe intentionally didnt mention it was a PAL Amiga?
From now on its pretty easy to tell (Usually) All NTSC Amigas except the A1200 have a FULL ENTER/RETURN key......so if it has a blank key to the left of it..its probably PAL or at least I would ask to make sure........the same goes with the CD32...the NTSC versions 90% of the time have a Painted Commodore logo.......versus the PAL one that has an Engraved Commodore logo........this isnt always the case, but ask! I think some people switched cases in my opinion if they are not as I mentioned or switched keyboards.
Anyway..here is How to get your A600 to work on NTSC TV's
Either get a Magnovox RGB monitor that was made for Amiga.or even a 1084s RGB monitor as they all support PAL but the Magnovox works 10 times better as it actually resizes the screen to show full PAL! this is the same Model as that famous UK PHILIPS CMK112 or whatever its called...this is the USA version......Magnovox and PHILIPS are the same company.
Also..if you want to use a Large TV, get a Magnavox or Philips TV.......alot of them support PAL and resize the screen too! I think PHILIPS remembered their Amiga Days and just kept this feature :-)
another way is to get a TV that has Vertical Height and Horizontal Manual controls in the back or front......then when you boot your Amiga and the screen is flipping, just adjust the Vertical Height......uh wait.....its Vertical something......not Vertical Height actually. Forgot what its called (Vertical Adj.?). but im sure you know what Im talking about.
although in this case the image may be in Black and White.