Vegeta doesn't have as many transformations as Goku, but that's simply because the Prince of All Saiyans doesn't need them.
Anime transformations as we know them wouldn't exist without Dragon Ball Z, and these are the absolute strongest forms in DBZ.
Goku's had a lot of different forms from the original series, to DBZ, Dragon Ball GT, Dragon Ball Super, and most recently Dragon Ball DAIMA.
From Pokémon to Shin-chan, an entire generation of Indian kids grew up on Japanese animation without realising it.