Pop B Pete and Rob are correct about most standard builders not having a design already on the books to suit a VERY LARGE arcade room. So yes, u would have to search high and low to find one that does have the biggest of biggest family/rumpus rooms to support the pinball machines.
When u find one Pete, get the building company to rename it "Pinball Design House 101". Then the rest of us can use it for our next house designs too !
I would stick with a standard design and stretch a room, or add a massive room to that design. Because these guys have built these houses hundreds of times, they can get the costings down and build time down as well. Anything designed as a one off by a architect can be very expensive cause architects dont like to design standard houses and put their name too it if its a bit plain. The more the roof lines change, the more the price goes up etc.
Either way Pete,if u do find a great design with a kick ass arcade room designed into it, it would be great to see the design on here for all us space ravaged hobbyists.
God luck with your house build Pete, and hope all your family has lots of fun with finding the right house.