These are correct except for the first sentence. We do not say "I like to see you" for the future. "I look forward to seeing you" (remember the '-ing') or "I am excited to see you" works fine.

My quick initial reaction: the only one I would disagree with is your first example. 1. I like to see you. == [Very similar to #2] I am delighted every time I see you. 2. I like seeing you. == It delights me every time I am in the act of seeing you. (in the past as well as in the future) 3. I would like to see you. == I want to see you. (it's my wish; in the future) 4. I look forward to seeing you. == I made this #4 because even though it does not have the word "like" in it, you used it as the definition of #1 before. It is similar to #3, except there seems to be a more definite plan. It's not a wish or merely something you would "like" to do, it is something that is going to happen in the future. (A person might end a letter this way. While the time and date of the meeting may not be established yet, the writer is asserting that it is going to happen)

You're almost correct. But "I like to see you" and "I like seeing you" have the same meaning. They're just different ways of saying the same thing. "I like to see you" does not have the same meaning as "I look forward to seeing you."