Which do you like better, going to the park or playing video games?
What do you like better, playing video games or playing in the park?
kojiさんの英文は惜しいです！go ではなく going としてあげると良いですよ。
ーWhich do you like better, going to the park or playing video games?
「公園に行くのと、ゲームするのとどっちがいい？」
または次のようにも言えます。
ーWhat do you like better, playing video games or playing in the park?
「ゲームするのと、公園で遊ぶのと、どっちがいい？」
ご参考まで！
Which would you rather do, go to the park or play video games?
Which would you rather do, go to the park or play video games?
Do you want to go to the park, or do you want to play a game?
Which do you prefer, the park or video games?
どっちを選ぶ？（選択）
→ would you rather / do you want to
好みとして、どっちが好き？（好み）
→ do you prefer / which do you like better
カナダ 
アメリカ合衆国 
