What is the phrase for "sounds like" as in "it sounds like your dad is getting better"?
Drunken (programming) Master is right. These 2 from iciba:

It sounds like a wonderful idea to me, does it really work?

听起来这个主意很不错，真的能行吗？

His rhetoric sounds like the death rattle of a fading leadership.

他的慷慨陈词听起来像是一个衰落的领导层垂死的挣扎。

They also have examples of 听上去。It's a great site for finding example sentences.