Here is a list of often used types of rhyme:
End rhyme: last part of words/sentences are the same
Begin rhyme: the first part of words/sentences are the same
Internal rhyme: 2 words in the same sentence rhyme
Metaphor: a word is used to describe/represent something else
Antithesis: 2 words with opposite meanings
Archaism: using old words
Exaggeration
Litotes: denying the negative to affirm the positive
Comparison
Synonyms
Repetition: using the same word multiple times
Personification: describing an object like it is a living person