Here are some ways to convey a similar meaning:
To express self-confidence and positivity:
* Я потрясающий! (Ya potriasayushchiy!) - "I am awesome!"
* Я крутой! (Ya krutoy!) - "I'm cool!"
* Я классный! (Ya klassnyy!) - "I'm great!"
To emphasize your own greatness:
* Я - это что-то! (Ya - eto chto-to!) - "I'm something else!"
* Я - уникальный! (Ya - unikalnyy!) - "I'm unique!"
* Я - звезда! (Ya - zvezda!) - "I'm a star!"
If you want to express that you're pleased with something you've done:
* Я сделал это круто! (Ya sdelal eto kruto!) - "I did it cool!"
* Я молодец! (Ya molodets!) - "I'm good!"
Ultimately, the best way to express "awesome me" in Russian depends on the specific context and what you want to emphasize.