Super Saiyan God SS Evolved (SSJJ)

Perfected SS Blue (Evolved) is refined variation of Perfect Super Saiyan Blue achieved by Vegeta.

Overview
Aside from a new refined appearance; Vegeta's muscle mass also seems to increased. This is achieved by Vegeta in manga and was able to pressure Jiren at the level of power was using, however after using more power he easily defeated Vegeta.

During their second encounter during Time Crusade; this form had almost no effect on Jiren.

Royal Super Saiyan Blue
A transformation exclusive to Jack's Fan-Fiction; this form can be obtain through rage as Vegeta achieved it at the result of Jiren being controlled and mercilessly attacking his student while Future Vegeta obtained after Shroom killed Future Bulla.

Full Power
A power-up exclusive to Jack's Fan-Fiction; Vegeta achieves this by adopting the concept of the regular Perfected Super Saiyan Blue form on this form and seals the ki within his body while gaining a glow similar to the fully powered state of Super Saiyan 4. However, the use of the form can damage Vegeta to point that he would have to flee the battle.