Programme rhymes with:
program, reprogram, program, reprogram, program, reprogram, anagram, cablegram, centigram, diagram, electrocardiogram, engram, epigram, histogram, hologram, kilogram, logogram, mailgram, mammogram, microgram, milgram, milligram, monogram, pegram, polygram, program, reprogram, sonogram, telegram, wolfgram
Programme sounds like:
peregrine, pfefferkorn, program