你说的这两个句子完全正确：

She said that he would like to see him. 她说她想见他。

She said that he would like all her children to go to college. 她说她希望她的孩子们都上大学。

▲would like (to to) 一般指现在说话时的情况。例如：

I would like to have a word with you now.  我现在想同你说句话。

You must tell us exactly what you would like to do.  你必须告诉我们，你到底希望怎么办。

▲would like (to to) 可以用在转述句里面（间接引语），作said, mentioned, told, asked, heard 等的宾语从句，表示过去“想要，希望”。例如：

He said he would like to stay with grandpa.  他说他想和爷爷住在一起。

The teacher said that he would like to choose an assistant among us.  老师说他将要从我们中选一个人作他的助手。

She told me she would like to join us in the discussion.  她告诉我她想和我们一起讨论。

We heard Tom would like to come to China for a visit.  我们听说汤姆要来中国访问。

What he said suggested that he would like to go with us.  他所说的话暗示他想和我们一起去。

He hinted broadly that he would like to come.  他已经明白暗示他想来。

He mentioned that he would like to start a school.  他提起他想创办一所学校。

He further stated that he would like to get a very clear idea about what they were going to do. 他还说，对于他们将做什么，他希望得到一个非常明确的了解。

would like to 当然还可用于其他过去的情况。

▲此外，would like to 还可用在虚拟句中，表示现在或将来不可能发生的情况。

If I were to be born again, I would like to be a bird.  我要是再活一次，我想当一只鸟。

I wish he would like to listen to her words!  但愿他愿意听她的话！

 说明：刚刚发上去，就看见龙老师已经解答了。我的解答仅做参考吧。