Yes, we have absolutely needed a reference letter for pretty much every place we've ever let in the UK.
The current one I have is a form letter from the management company overseeing the apartments we lived in. It has our names, the unit number which we rented, the date the tenancy began, amount of monthly rent and a check mark next to "yes" for "paid satisfactorily" and "no" for "account was/is in arrears". It's signed by the management company's rep, with her title and the date.