Acima Leasing Acima Leasing is a flexible, lease-to-own solution that can help you get a new mattress without credit. You can apply, shop and manage your lease via the Acima mobile app. The new Acima LeasePay Card expands your leasing options to millions of merchants on the Mastercard network. The following online retailers accept Acima for payment so you can buy a mattress now and pay for it later on credit.