Super Saiyan, Ultra Super Saiyan, Ultimate Super Saiyan, Full Power Super Saiyan, Super Saiyan 2, Mastered Super Saiyan 2, Super Saiyan 3 and 100% Super Saiyan 3.
In GT, Super Saiyan 4 exists.
Some belive that SSJ4 Goku fused with Shenron and absorbing the dragon balls is the equivilant of "SSJ5" which only exists in DB AE/AF which are fanmade creations.
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gogeta is ssj
I'm pretty sure that's there no ssj 5 goku because in all the series mostly goku is just a regular ssj
no
Well there is no Ssj5 but in there was Vegito would be the stronger one.
It means Super Saiyajin