There is a rather complete list here:

• https://vtech.fandom.com/wiki/V.Smile
• https://vtech.fandom.com/wiki/V.Smile_Motion

Also known as “Genius TV Progress” in France.

This is a more computer-like system targetted at older children. It has a mouse and keyboard.

Bundled cartridges have just straps shorting some pins, but it turns out it is compatible with V.Smile carts, except they don't fit in the cartridge slot

These have similar names but are actually not compatible:

• https://vtech.fandom.com/wiki/V.Smile_Baby
• V.Smile Pro (uses CD instead of cartridges) (also known as V.Flash in some markets)