Apple was still using monochrome monitors. They didn't have 64 k. Their sound was equivalent to what you would find on a telephone keybad. That is why it became the worlds best selling computer. Still is.
Then there was the Amiga. Did you ever own one of those?
I have an old house to renovate in Schenectady, NY coming up. It's part of the deceased owner's estate and will be sold. Anyway, in the basement is a box of those with printers, external drives, etc. I bet it fetches a few $ on ebay.
The Apple II+ came with 48k of RAM and, I believe 4 or 8 colors and a tone generator for beeps and sounds. The C-64 had 64k and 16 colors. It also had a 4-voices Yamaha music chip.
The Apple's disks were A LOT faster than Commodore's. I believe they were a bit smaller too. Also, the Apple had Visicalc and a number of good word processors and other business apps. The C-64 never had a usable spreadsheet and never made it into a small business office, like the Apples did. While it had fewer colors, I believe that the Apple supported a higher resolution and 80-column text.
I never had an Amiga. My second computer was an Atari 1040ST. After that... PC compatibles.
The Apples were trying to compete with the IBM PC's and failed. The C-64 were competing with the Ataris and the C-64 won in their market niche but I don't believe that the Apples and the C-64s were really at each other's throats.