An LCD TV will accept TV broadcasts in PAL/NTSC so will accept a standard 15Khz Amiga signal via a Scart(/peritel), RCA phono composite or RF socket.
Most LCD TVs will offer 640x480, the better branded ones will have 800x600 and 1024x768 resolution capability.
Some might have Scart AND VGA port.
All LCD TVs should work on all models of Amiga. However I have not yet tried one personally. Modes like Multiscan Productivity would need to be connected to a VGA port on such a screen.
You can get good AOC 20" 800x600 LCD TVs now for about 250 GBP. Fine if you're just using the custom chips and not wanting to be too fussy with the graphics cards etc.