How do you say "i like playing games" in japanese?

Question

Answer

In japanese, we often use no subject( I, he, she, you) in the beginning of a sentence. 
Of cause you could start a sentence from a subject; however, it sounds a little bit strange in a conversational language. 
It more sounds like it is spoken by a foreigner for me. 

Anyway, "I like playing games".

1. ゲームするのが好きです [ge-mu surunoga sukidesu.] (I like playing games) 
-ゲーム(game) する(play) のが（to/ing)　好き(like) です(is/am/are ...etc) 


2. ゲームするの好き [ge-mu suruno suki] 
(short of #1, more used in conversational language) 

-ゲーム(game)する(play) のto/ing)　好き(like) 


3. ゲームが好き [ge-mu ga suki] (I like games) 
- ゲーム(game)が 好き（like)

Answer

ゲームをするのが好きです。
ge-mu wo suru no ga suki desu.

I'm not a native, but there aren't many Japanese in this Italki so..

Answer

私はゲームをやる（する）事が好きです。
わたしはゲームをやる（する）ことがすきです。  
Depending on the game, it would be suru or yaru.

私はゲームが好きです。       I like games. 
私はゲームが大好きです！　I love games!

Answer

ゲームが好きです。