From rhymezone.com:

Words and phrases that rhyme with verse: (55 results)

1 syllable:

bearce, bearse, bearss, burse, curse, firsts, furse, hearse, kearse, kerce, merce, nurse, pearse, perce, pers, perse, purse, scearce, terse, worse

2 syllables:

adverse, averse, coerce, converse, disburse, disperse, diverse, dry nurse, emerse, get worse, head nurse, immerse, inverse, obverse, perverse, rehearse, reverse, scrub nurse, sea purse, submerse, trained nurse, transverse, traverse, wet nurse

3 syllables:

intersperse, privy purse, reimburse, shepherd's purse, student nurse

4 syllables:

biodiverse, graduate nurse, practical nurse, registered nurse, visiting nurse

6 syllables:

licensed practical nurse

1 syllable:

bearce, bearse, bearss, burse, curse, firsts, furse, hearse, kearse, kerce, merce, nurse, pearse, perce, pers, perse, purse, scearce, terse, verse, worse

2 syllables:

adverse, averse, blank verse, coerce, converse, disburse, disperse, diverse, dry nurse, emerse, free verse, get worse, head nurse, immerse, obverse, perverse, rehearse, reverse, scrub nurse, sea purse, submerse, trained nurse, transverse, traverse, wet nurse

3 syllables:

intersperse, line of verse, nonsense verse, privy purse, reimburse, shepherd's purse, student nurse

4 syllables:

biodiverse, doggerel verse, graduate nurse, heroic verse, practical nurse, registered nurse, visiting nurse

6 syllables:

licensed practical nurse