The Commodore VIC-20 came out in 1981, and was much cheaper than just about any other "home" computer. (It also had a screen that was only 22-characters wide, and only 5K of memory. But it did have color, sound, and user-definable characters, although a lot of "POKE" commands were required to use these features. The VIC was still kind of fun to play around with, though.
The really popular Commodore was the 64, though. It had an 40-column screen, could display up to 16 colors at once, had excellent sound (up there with the Moog synthesizers, some would say). Again, though, it took loads of POKE commands to make the machine really sing and dance. There were a handful of third-party extended BASIC cartridges (Simon's Basic was the one I remember, there were others as well) that added commands to the BASIC to manipulate the graphics, sprites and sound. (Of course, these cartridges were incompatible with each other...)
Later on the Commodore 128 came out, with additional features such as an 80-column screen, and CP/M capability. (It also had a better BASIC, with commands that could handle the advanced sound and graphic features).
It had the nicest graphics of any of the personal computers up until the Amiga (not surprising, since they were both designed by the same person). The sound wasn't too bad either (4 voices of either pure musical tones, or various types of "noise" for special effects).
It also had sprite graphics (called "player/missile" in Atari-ese), but one had to do a lot of PEEKing and POKEing in order to use them from standard Atari BASIC. (There was also a Microsoft BASIC available for the Atari, but I've never used it).
Of course in many people's minds, "Atari" is synonymous with "video games", and there were no shortage of those on the Atari computers.
It produced a monochromatic (at least to NTSC TV's) picture up on UHF channel 38. There were a number of graphic modes, including the mysterious "Teletext" mode (designed to be compatible with European data-over-video systems). The Beeb also had powerful sound/music capabilities, similar to those of the TI 99/4a. Speakers were in the console itself, rather than the sound being sent to the TV.
Finding documentation and software proved to be quite a paper chase. Few Americans knew much about this machine, although it did get a nice write-up in Compute Magazine. I remember writing to a BBC/Acorn club in Australia, and getting a newsletter back with mostly Acorn Archimedes stuff in it.