This may not be what you're looking for, what I've done is plug the RF video from the Amiga into a Dell LCD monitor that has a standard composite video RCA input. ( It's an older 24" LCD monitor from Dell that isn't sold anymore, but this is it: http://goo.gl/DzWd. Of course there are now many multi-input monitors on the market, but not so many with composite video inputs.)
A really nice feature of this monitor is the picture-in-picture mode: the video from the Amiga can be placed in any corner of the screen. This works out well, since that small size matches (roughly) the resolution from the Amiga anyway. You can have the video take up the entire display, of course, if you love big blocky pixels. :)
Anyway, for me, this has been a good one monitor solution for using my PC and Amiga at the same time.
Good luck!
2TV's are lisenced as long as they're being used to display television.
You can use a TV for a monitor for a games console or computer and not have to pay the license.
From the TV licensing website:
You need to be covered by a valid TV Licence if you watch or record TV as it's being broadcast. – Joe Taylor – 2010-10-07T13:39:13.387
1@Joe in principle you're correct, and a TV used only "for playing video games" does not need a licence. However in practice the licensing organisation will treat a TV with an RF modulator as being used to watch live TV, and it will be up to the jury to decide whether that was indeed the case. – None – 2010-10-07T15:35:16.417