Softrace lets you race against your opponents. Its among the Android developer challenge winners. Softrace website.
Sportypal lets you measure yourself and has an accompanying website to share your tracks.
If all you want is to track your jog, Google’s My Tracks works nicely. MyTracks website.


Softrace
Sportypal
Google My Tracks
CARDIO TRAINER, don’t foget about cardio trainer. They have an addon that allows you to race your self. Its a paid add on but worth it considering the rest of cardio trainer is free. Also in the stock ap you can see how your races compare to others who have uploaded tracks.