Elixir rhymes with:
fixer, mixer, sixer, boxer, daxor, exar, faxer, fixer, flexer, indexer, luxor, mixer, multiplexer, paxar, saxer, sixer, taxer
Elixir sounds like:
elcor, eleazer, elgar, elger, elicker, eljer, ellisor, elsasser, elser, elsesser, elsewhere