Meet the below conditions to unlock the named modes.

Mode	How to unlock
Credits & B.G.M. Test	Beat the final stage (10-5).
World Tour: Extra Stage	Get 100 coins.
World Tour: Extra Stage 2	Get 125 coins.
World Tour: Extra Stage 3	Get 150 coins.
World Tour: Extra Stage 4	Get 200 coins.
World Tour: Extra Stage 5	Get 225 coins.
World Tour: Ram Rider	Get 50 coins.
World Tour: Ram Rider 2	Get 175 coins.