Oh, I see. Isn't there a difference like in
(1) Every visible star is named after a famous astronomer.
(2) Every star visible is named after a famous astronomer.
Not really, no. With those two examples, you are specifying a particular set of stars within a bigger set. With the examples about tea, both of them say that you are prepared to drink cold tea.
The two sentences you posted originally would be used to answer two different questions:
1) Q: What do you like to drink?
A: I like to drink cold tea.
2) Q: How do you like to drink tea?
A: I like to drink tea cold.
"Cold tea" behaves like a compound noun, if you like. "...tea cold" treats "tea" as a noun and then adds "cold" as supplementary information in the form of an adjective.