It is a mistake to buy one of those beauties only to do covers of Byrds and Beatles material. Ricks sound very much in a certain way, but it is possible to put your stamp on them, to develop your own style when playing them.
All Rickenbacker 4 Models
This is a sound that you can't mimic with any other guitar I know of. I would recommend it to anyone looking for that distinct Ric sound.
The 360 features a semi-acoustic hollow body with the top, sides, and ribbing carved from a single piece of maple. A solid back is precision laminated to the front, and features a bound rear edge and a rounded top.
The 370/12 electric 12-string, with its distinctive "ringing" sound, epitomizes the quintessential rock sound of the sixties created by Roger McGuinn of The Byrds.