I don't think there's just a few of them.
copper nickel zinc common catalysts are solid acids such as the silicas, alumina, and zeolites it depends on the reaction
Catalyst is the substance used to enhance or reduce the speed of a reaction.. there are thousand of catalyst used..(product of one reaction may act as catalyst of another).. you can see in google
A catalyst is a substance which alters the rate of a chemical reaction but is chemically unchanged at the end of the reaction there are well some of em are 2,2'-Bis(2-indenyl) biphenyl Adams' catalyst Band 3 Cerium(IV) oxide Copper(II) acetate Copper(II) hydroxide Cyclooctadiene rhodium chloride dimer 4-Dimethylaminopyridine Enzyme engineering Faujasite Frustrated Lewis pair Grubbs' catalyst Hopcalite Incipient Wetness Impregnation Lanthanide triflates Lindlar catalyst Mesoporous silicates Methylaluminoxane NOBIN Nickel(III) oxide Noxer block Palladium on carbon Phase transfer catalyst Platinum Polyoxometalate P cont. Post-metallocene catalyst 2-Pyridone Pyrotol catalyst Raney nickel Ribozyme Tetrakis(triphenylphosphine)palladium(... Tetrakis(triphenylphosphine)platinum(0... Triazabicyclodecene Tris(dibenzylideneacetone)dipalladium(... Trost ligand Vanadium(V) oxide Wilkinson's catalyst Ziegler-Natta catalyst