OK, I'll go the other way. I've never had anything but problems with ATI cards. Their newer ones may be better but the Rage Fury Pro I've had for awhile and am trying to use to get VCR playback in my classroom just refuses to work. My TV Wonder VE is quirky as well.
On the other hand, I have a Gainward GeForceFX 5600 Ultra with VIVO that simply works. I can watch and capture from the VCR with no problems. For many years, I've struggled with ATI drivers, but have had much better luck with Nvidia's. Better luck doesn't mean perfect - I have another post here somewhere that describes a weird problem I'm having with the above 5600 card (actually not sure it's the card). I just have fewer problems with Nvidia.
On older machines, ATI's DVD hardware acceleration was useful, but not important now. Noting that they are not as plentiful, I personally would go either with a GeForceFX with VIVO or a separate TV card such as Leadtek or MSI's (both of which I'm looking at to replace that Rage Fury Pro) or some others. If you already have a decent video card, that will come in for a lot less than your price range.