Sudden Layoff: Corporate world is unpredictable as one never knows when he/she could be get a pink slip. Till the time one finds another job, an emergency corpus will help to settle the monthly expenses.
Major medical costs: Complex lifestyles have raised health issues and the bills as well. It is possible that health insurance plans could become inadequate and would require additional funds. It is the time to draw from your emergency corpus.
Car goes to garage: Car, your main mode of transport, has broken down and needs an urgent fix, but the cost is excessively high. No worries as you can pull that extra money from emergency funds without the need of another debt.
Extending maternity leave: Corporates allow a fixed tenure for maternity leave, but what if you need or wish more time off from your work. While your company might agree to give leave without pay, an emergency corpus, then will take care of the 'pay' part.
Switching Cities or Country for job: It is more usual that your next dream job asks you to change your city or even country, then how would one will take care of the transportation, housing and other costs. Certainly, an emergency corpus will do the needful.