Vegeta doesn't have as many transformations as Goku, but that's simply because the Prince of All Saiyans doesn't need them.
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.
Anime transformations as we know them wouldn't exist without Dragon Ball Z, and these are the absolute strongest forms in DBZ.
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10 best-written Dragon Ball arcs, ranked

Dragon Ball has crafted a compelling and complex narrative over the course of four decades, but some of its sagas have better ...