Any Amiga with a graphics card including the AmigaOne series can hook up to a VGA monitor with no problems. The Amiga chip-sets are dying out in favor of PC-style graphics chips anyway. All that's left of the Amiga is the operating system.
Keep in mind that one of the main features of the Amiga was its use in professional video production which required a good PAL/NTSC genlocking feature. The TV-out features of modern graphics cards suck.
Also, the low-end Amigas used to be considered game-systems by most people and the TV was a good fit there too.