Finding different Proteins with same function
There will be a lot!  Chromosomal dihydrofolate reductase and type II (plasmid) dihydrofolate reductase have not been derived from common  ancestor but catalyze completely the same reaction including stereochemistry by the authority of Brito. 

Bacterial phenylalanine hydroxylase too is completely different in sequence of amino acids from phenylalanine hydroxylase from mammals (where plants have no such protin). The literature shows this paper Cloning and nucleotide sequencing of phenylalanine dehydrogenase gene of Bacillus sphaericus.