I wish there was also some kind of oral exam in the university entrance exams.
I wish they also had oral tests in the university entrance exams.
I wish there was also some kind of exam to test one's speaking ability in the university entrance exams.
Atsushiさん
ご質問どうもありがとうございます。
様々な表現があると思いますが、いくつか自然な表現を紹介します。
1. I wish there was also some kind of oral exam in the university entrance exams.
2. I wish they also had oral tests in the university entrance exams.
3. I wish there was also some kind of exam to test one's speaking ability in the university entrance exams.
--- test one's speaking ability = 人の話す能力を評価する
お好みに合わせて使い分けてみてください。
ご参考にしていただければ幸いです。