Here's what rhymes with illegalities.

Consider these alternatives

improprieties / varieties misdeeds / needs malpractices / practices illegality / personality transgressions / presence impropriety / variety untruthfulness / usefulness malfeasance / reasons criminality / personality maladministration / operation misdeed / need insinuation / relation indiscretions / presence oversights / rights manipulations / relations hypocrisies / crises misbehaviour / saviour irregularity / therapy misbehavior / behavior depredations / relations