Sonamy

Sonamy is the het ship between Sonic the Hedgehog and Amy Rose from the Sonic the Hedgehog series.

Canon
In most canons, Amy is shown to love Sonic. However, Sonic doesn't return these feelings.

Games
Amy is in love with Sonic and tries to do anything in order to make Sonic fall in love with her. Despite the fact that Sonic tries to run away from Amy all the time, he still cares for Amy, just not in a romantic way.

Manga
In the early 1992 Shogakukan manga, Nicky (Sonic's alter ego) is dating a brown hedgehog called Eimi (an early version of Amy Rose). Eimi also has feelings for Sonic and both Nicky and Eimi are unaware of the fact that Sonic is in fact Nicky.

Sonic X
Their relationship is similar to the games but there are also scenes where Sonic might return the feelings.

Archie Comics
Their relationship is similar to the games. At one point, Sonic and Amy start dating but their relationship doesn't last long and it turns back into the one-sided relationship it used to be.

Sonic Boom
Amy has a crush on Sonic but unlike the games, she is not obsessive.

Fanon
Sonamy is one of the most popular, if not the most popular, pairing in the Sonic series.

Tumblr

 * sonamy tag on Tumblr

AO3

 * Amy Rose/Sonic the Hedgehog tag on Archive of Our Own

deviantART

 * sonamy tag on deviantART
 * sonamy-fans fanclub on deviantART
 * SonicXAmy-Club fanclub on deviantART
 * SxA-SxLOVExR-SxB fanclub on deviantART