I am playing with snow ,that make me very happy!What about you?可能语法有错误，请帮忙指出．

记得高中老师告诉我们play with 有略微带贬义的意思。
可以写：

I am very happy with playing in snow! What about you?

那是非限制性定语从句,怎么能用THAT呢?
楼上说的也对吧.

playing in snow makes me very happy, what about you?

或许在that前面加一个and会更好