This is for playing survival on "extreme". This can actually be easily done by simply spamming Shoryukens with Ryu or Ken.
This video demonstrates the strategy for the entire run:
As you can see it's 100 stages long so make sure you got some time set aside and you may want to setup a macro for the move as you'll be using it a lot.
Unsure if playing on extreme first will unlock the two other survival mode achievements, if someone tries it before I do please let me know.
I suggest getting this achievement done as soon as possible. The game shipped half finished so the AI is really bad at the moment, Capcom may improve it later and actually make this more challenging as a result of that.While connected to the Capcom servers if you get disconnected you will be forced out from the mode and have to start from first fight again. If you choose to play not connected to their servers you will acquire no experience or Fight Money.