You would need an external scan doubler/flicker fixer and it should work just fine I have one and have tried several monitors on it including my wifes Dell 17"LCD and it has worked just fine on it. (I am curently using an LG 17" CRT)
You can not just plug any monitor into the Amigas RGB out as the default output for games would be to low a refresh rate (15kHz)for the monitor to work DBL NTSC, DBL Pal would work but like I said It wont work as soon as you try to play any games.
Edit: have a look at
AmigaKit This scan doubler/flicker fixer works really well as it is what i am using.