This NHTSA list is as of May 28, 2013 and it can be accessed on this google docs link.

*The '84 BMW Hossack K100RS Prototype bike was omitted due to lack of images.

Here we go:

2003 Aston Martin DB7 Zagato Coupe

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

2011 Aston Martin One-77

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

2004 Aston Martin Vanquish Zagato

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Otis Blank

1999-2000 Aston Martin Vantage LeMans

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1984 Audi Sport Quattro (already 25 years old)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1978 Ford Falcon XC Bathurst Cobra (already 25 years old)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

2012 BMW M3 CRT

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Germanspotter on Flickr

1990 BMW Sport Evolution M3 (UK version)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1988-1991 BMW Z1

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1992-1995 Bugatti EB110

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

2005 Ferrari Enzo #400 (Pope John Paul II)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1985-1986 Ford RS200 Evolution (already 25 years old)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1986 Ford Sierra Cosworth RS 500 (already 25 years old)

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1997 Gruter & Gut Duetto Sidecar

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

2000 Holden GTS-R

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: GeeTO Tiger

1992 Honda NR750

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1988 Italdesign Aztec

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1992-1994 Jaguar XJ220

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1999 Lamborghini Diablo GT

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit: Wikipedia Commons

1995 Land Rover Range Rover Vogue 25th Anniversary Final Edition

The US "Show And Display" Exemption List In Pictures (Pt.1)

photo credit - kenjonbro on Flickr

Click me for part 2.