A board like the Pi is defined by these attributes (order irrelevant):
Price
Performance
Exposed I/O
Device Size
Community Size
I don't know of any board that beats the Pi on more than 3 of these attributes.
The allwinner sticks you mentioned are comparably priced, but have a smaller development community and very limited I/O. If all you want is a little media player, I think they are a good choice though.