You can parse this data for your organism(s) of interest from ENZYME nomenclature database maintained by EXPASY team (Download enzyme.dat). You can get a list of Uniprot IDs with short organism names for each enzyme.
Here is an example:
ID 1.1.1.2
DE Alcohol dehydrogenase (NADP(+)).
AN Aldehyde reductase (NADPH).
CA An alcohol + NADP(+) = an aldehyde + NADPH.
CF Zinc.
CC -!- Some members of this group oxidize only primary alcohols; others act
CC also on secondary alcohols.
CC -!- May be identical with EC 1.1.1.19, EC 1.1.1.33 and EC 1.1.1.55.
CC -!- A-specific with respect to NADPH.
PR PROSITE; PDOC00061;
DR Q6AZW2, A1A1A_DANRE; Q568L5, A1A1B_DANRE; P35630, ADH1_ENTHI ;
DR Q24857, ADH3_ENTHI ; Q04894, ADH6_YEAST ; P25377, ADH7_YEAST ;
DR O57380, ADH8_PELPE ; P0CH36, ADHC1_MYCS2; P0CH37, ADHC2_MYCS2;
DR P0A4X1, ADHC_MYCBO ; P0A4X0, ADHC_MYCTU ; P25984, ADH_CLOBE ;
DR P75214, ADH_MYCPN ; P14941, ADH_THEBR ; Q3ZCJ2, AK1A1_BOVIN;
DR Q5ZK84, AK1A1_CHICK; O70473, AK1A1_CRIGR; P14550, AK1A1_HUMAN;
DR Q9JII6, AK1A1_MOUSE; P50578, AK1A1_PIG ; Q5R5D5, AK1A1_PONAB;
DR P51635, AK1A1_RAT ; Q6GMC7, AK1A1_XENLA; Q28FD1, AK1A1_XENTR;
DR Q9UUN9, ALD2_SPOSA ; P27800, ALDX_SPOSA ;
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PS. I heard of this resource via BioStar, thanks to Lars !
If you need to look for overall similarity in the level of protein sequences between 3 genomes, you can use TaxPlot also - but the resource is not restricted to enzyme families, it consider all proteins.