Let's wish the students success .可 Let's wish the students successful

正确的说法是：Let's wish the students success
wish sb sth， 祝愿某人某事。。。wish you happiness.
也可以说：Let's wish the students succeeded.

wish sb adj 是对的搭配
Let's wish the students successful

两个都是病句，第一个出现了两个动词，正确的应该
Let's wish the students to be successful