I knew America has an insanely primitive banking system but I doubted myself when people denied it in another thread. No one here uses cheques any more - I don't think I know anyone who has had a cheque book in the last 10 years. Everything is done online - the banks all used a standardised system which allows easy, fast and safe transfers between them. Hardly anyone even carries much cash - it's just not necessary. Our equivilent of eBay (Trademe) revolves around our banking system - no stupid Paypal crap because bank transfers are cheap (no fees in 99.99% of cases) and fast.
I deal with a lot of landlords in my job - I've never, EVER seen a landlord here who gets paid with cheques, and I doubt any of my clients would accept a cheque any more than they would accept a napkin that says "I promise I'll pay you in a week". With every landlord I deal with, and every landlord I've ever had/seen/met, rent is paid by straight bank transfer - usually automatically debited, but that's up to the tenant.