I believe most of your more classic looking longbows with narrow/deep core limbs and narrow risers are cut to about 1/16th-1/8th of center in general.Some are center shot
I think you will find most any of the more Moderate to radical R and D bows.Sometimes called hybrids can be cut to center and most are probably?All of mine have been.So it should not be a problem to find one thats center shot second hand.
Most of the more Mild R and D bows I have have had and reflex and straight limb have been cut shy of center.Like Great Northern Critter Gitters,Berrys,Robertson,Liberty etc.