This is what I have been told and found from Cyprus Customs site

Vehicles categories c.c. € per c.c.
A Motor vehicles classified under T.H. 8703 21 – 8703 90 (excluding ambulances and hearses)
0 - 1650cc €0,51 per cc
1651 - 2250cc €3,42 per cc
2251 - 3000cc €5,98 per cc
exceeding 3000cc €7,69 per cc

B Motor vehicles classified under T.H. 8704 with two rows of seats, known as “double cabin”, with a maximum Gross Vehicle Weight not exceeding 3,5 tonnes. 0,26 per c.c.

C Van type motor vehicles classified under T.H. 8704 with a Gross Vehicle Weight not exceeding 2032 kgrs and a net cargo area not exceeding 2 cubic meters.
0 - 1450cc €0,17 per cc
1451 - 1650cc €0,43 per cc
1651 - 2050cc €1,28 per cc
2051 - 2250cc €1,28 per cc
2251 - 2650cc €1,28 per cc
exceeding 2650cc 1,71 per cc

Basically the newer and bigger the engine the more it will cost, for example my father-in-law had his 3 year 2500cc Jag sent over and it cost him close to £3000 but still saved him about £3000 if he would have bought the same car there!

Hope this helps