I don't agree with any of these answers.
The way I would translate that is "I want to learn more foreign languages and make new friends." You could also say "I want to learn different language..." But in your sentence it's 我想要学习更多不同的语言。 That is hard to directly translate, so you have to pick one or the other way to say it in English. You wouldn't say "more different languages" because the meaning would change.
People need to stop using Google Translate and then posting that as an answer.