Here's what rhymes with innumerable.

Consider these alternatives

multitude / food numerous / humorous myriad / period sundry / country proliferated / dated various / areas guises / prices abound / found sorts / towards profusion / conclusion assorted / imported imitations / relations misfortunes / importance aplenty / twenty vicissitudes / viscissitudes incarnations / relations humiliations / relations diversions / persons allusions / institutions inconveniences / conveniences varying / marrying dedications / relations tribulations / relations transgressions / presence