Here's what rhymes with annoyances.

Consider these alternatives

inconveniences / conveniences irritations / relations gripes / types hypocrisies / crises banalities / personalities aggravations / relations quotidian / quotidien mundane / main workaday / day digressions / presence idiosyncrasies / these joys / boys unimportant / important banal / alcohol humiliations / relations tedium / medium preoccupations / relations diversions / persons conveniences / inconveniences incongruities / duties