「Amazonプライムで映画を見る」は英語で「Watch movies with Amazon Prime.」という表現が良いと思います。
「コロナウイルスの影響で、Amazonプライムで映画を見る機会が増えた」ーDue to the influence of the Coronavirus, chances to watch movies on Amazon Prime have increased.(「I have more opportunities to watch movies on Amazon Prime.」という表現もよろしいです。)
Amazonプライムで映画を見る - To watch movies/films on Amazon Prime.
コロナウイルスの影響で、外出自粛が続いており、Amazonプライムで映画を見る機会が増えた - I haven't been going out as much because of the coronavirus, so I've been watching movies/films on Amazon Prime a lot more now.
I've been trying not to go out as much because of the coronavirus, so I've had more time to watch movies/films on Amazon Prime now も大丈夫です。