What kind of car can I lease with the following personal background?

You should be able to lease just about anything.... Your credit doesn't sound like a nightmare. What you SHOULD consider is actually purchasing a car instead of leasing. Yes, a purchase will give you a larger monthly payment, but in the end it is yours and you will be payment free. With a lease, you will pay a payment for three years and in the end have to turn around and finance the purchase price of a new vehicle or another lease... you will be into your 30's and not actually OWN anything.