Super Moshiversity is a university in the Moshi Universe that all people who are currently or wish to become Super Moshi's attend. Some great known Super Moshi's are Elder Furi, and the greatest known villain, Dr Strangeglove attended there before he became a villain.
Supermoshi Mission #6 (Super Moshiversity Challenge) took place here. Supermoshiversity has a large clocktower, an observatory, and dormotories for the students to stay in. Besides in the Supermoshiversity challenge, it was mentioned by Elder Furi when he describes the Seventh Mission to you, and the only other time was in the photo (Bottom Right) in which you see Elder Furi and Dr. Strangeglove in front of the entrance to Super Moshiversity at their graduation.
Super Moshiversity plays an important role in Super Moshi Mission 6, where your monster is sent by Elder Furi. The "headmaster" at the school turned out to be playing an organ every night which would hypnotize the students so that they would partially destory the Super Moshiversity. Most likely, the headmaster is part of C.L.O.N.C., not really the headmaster, and sent by Strangeglove to wreak havoc. The headmaster is actually more than one glump stuffed into a long coat.