There are so many kinds of ~, so I don't get bored.
The variety of it is immense. You can't get bored with it.
一番目のフレーズは直訳に近いです。"There are so many kinds of (games), so I don't get bored."「（ゲームの）種類がとても多くて、私は飽きません。」
二番目のフレーズは「その多様性は非常に豊富です。飽きるなんて無理ですよ。」と訳せます。
他にも似たようなシチュエーションで使える例文：
"You are offered so many options and possibilities with this, it can not get monotonous."
「本当に多くのオプションと可能性を提供されているんです。単調になるなんて、ありえませんよ。」
"The choices you have with all the different kinds of games! You won't know what boredom is."
「いろいろな種類のゲームにある選択肢！飽きる、ということはあなたとは無関係になります。」
ご参考になると幸いです。
There are many different kinds (of game) so I never get bored
I never get tired of playing games because there are so many different types
It is impossible to get bored of playing games because there are so many different kinds to play.
「沢山種類があるので飽きない」＝ There are many different kinds (of game) so I never get bored / I never get tired of playing games because there are so many different types / It is impossible to get bored of playing games because there are so many different kinds to play.
ボキャブラリー
many different kinds/types ＝ 沢山の種類
never get bored/tired ＝ 飽きない
impossible ＝ 無理
アメリカ合衆国 
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