The only similarities I can see is: A.Have similar characteristics in appearance (Pink hair, green eyes, red uniform, etc)
B. Both characters have questionable personalities, the obsessive kind.
C. Both come from series with terrible fanbases.
Though in Amy's defense, at the very least the character she's chasing show's signs of liking her back. In sakura's case, the boy in question shows no signs and for all intensive purposes is asexual, possibly gay. Also Amy's isn't nearly as useless as seen in games like Sonic heroes (being the leader of her own team) and the holding her own in fights (see the archie comics).
Its almost like, looking into a mirror. Amy has had a single minded devotion to sonic since forever, same for Sakura and Sasuke, now Sakura is married to Sasuke, will Amy follow suit? Find out next time on Sonic Spin Dash Z.