Anime Wings
Anime Wings is a pair of wings Chris got at Anime Mid-Atlantic anime convention that are clipped on to the hair, this accessory is usually used by women (otaku fangirls). They somehow turn real when he transforms into Super Chris-Chan Sonichu if Chris-chan transforms while wearing them. This gives Chris-chan even more god-like abilities, granting him the power to fly.
The wings first appeared in Sub-Episode 4 and have not made another appearance since then. Ultimately pointless, as Chris-Chan Sonichu has been shown to be perfectly capable of flying (probably because it's easier to draw).
Super Chris-Chan Sonichu
With the Anchuent Powers, Chris-Chan can transform into Super Chris-Chan Sonichu if he has his anime wings on top of his head. They appear to be similar looking to Angelica's. Considering him doing this would make him super, thus more powerful than his original form, he would be wise in using this to his advantage in future comics. But alas, this concept was completely forgotten about by Chris, just like the plot in Sonichu.
Another note to be made is that Chris-Chan cannot come up with an original idea, so this had to be ripped off from somewhere. Due to his influence with Nintendo, he most likely got the "Super" part of the name from Super Nintendo and the fact that many titles in the SNES collection consisted of "Super" in their name. As for the actual wings part, it is probably stolen from Super Mario (think, flying koopas) or some other anime. Super Mario 64 has the wing cap that allows Mario to fly, so the former is more likely.