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The following transformations are achieved, seen, and/or referenced Dragon Ball, either in Akira Toriyama's original manga series, Toei Animation's animated adaptation, within video games produced by Bandai Namco, etc.
The "Super Saiyan Pedigree" column from Daizenshuu 10: TV Animation Part 3 (p. 92)
Super Saiyan 5: thus far does not exist in official Dragon Ball merchandise, but was somewhat-joking referred to off-hand and explicitly named as such in Dragon Ball GT episode...