From the bttv README:
Bttv is a device driver for frame grabber cards using the Conexant ( http://www.conexant.com) Bt848 family of video decoder chips. Among those are the Bt848, Bt848A, Bt849, Bt878 and Bt879. The only major differences between the cards by different manufacturers are the types of tuners and extra components on the boards. E.g., some cards by Hauppauge have an additional Videotext decoder and/or sound decoder chip. Only some of these additional components are supported by bttv. Also, type (Composite or S-Video) and number of inputs differ.
The following cards should work:
If you know of other cards which work, please email me and I'll add them in the next revision of this document.