In correct English, a subject is needed. I recommend only these: It seems/appears [that] she was angry with you. You can have at if you are not angry with a person: He was angry at the mere suggestion.
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Son James[1] It seems she was angry at you.These are fine. There is no rule that with should be used when the anger is directed at a person. In fact, the COCA shows that at is more common.
[2] It looks she was angry at you.
[5] It seems like she was angry at you.
[6] It looks like she was angry at you.
Son JamesIt is kind of like she was angry at you"?I don’t think that is very natural. Your others are better.