Here goes,

1. Turbo Grafx 16 (1. with me from the day I got it off the store shelf)
2. Neo Geo CD
3. Dreamcast
4. PS2
5. Sega Genesis
6. Nintendo DS (with GBA)
7. SNES
8. NES
9. Neo Pocket color
10. Atari Lynx 2

This was very painful to do.

Likewise with me, Honorable mentions
GameCube, Swan Crystal, Sega Saturn, N64