If you are referring to the Tamagotchi v5, there are:
The Mame Family
The Kuchipa Family
The Meme Family
The Flower or Violet Family ( I heard both)
Bad Care Families;
Big or Large Family(I think Large)
This is for the v5. There is also the v5.5 or v5 celebrity. I will say only what I already know, but I am pretty sure I'm right!
Gotchi King Family
Bad care families;
You can also get the Space Family. Just take a look at this, if thins wasn't enough info.