The 'classic' plate is the standard white plate, with black lettering. It's a general issue, so you can request it.
The black and white plate will display the same information as the standard color plates, but before the new plates go into circulation, county tax offices need to get rid of all their other inventory first.
The new plates also come with a security feature. Two new high-visibility security threads on the new classic plates join existing holograms, making it easier for officers to spot legitimate plates.
More information on license plates, including The Texas Classic, is available at www.TxDMV.gov.