Most preserved AQM-34's are shown on the individual museum pages. The remainder are listed here.
The Yanks Air Museum in Chino, CA, has a collection of BQM-34 and AQM-34 bits and pieces. Two AQM-34 fuselages were identified. It is expected that the museum will put something together that resembles a combat aircraft.
The Museum of Aviation at Warner-Robins, that already has an AQM-34V on display, has a 3/4 scale replica of a 147NX in its warehouse. It was previously on display at an NCO academy. It is made out of fiberglass and wood. The museum has plans to refurbish it for display. However, information on the 147NX is rather scarce.
The 'Air and Missile Museum' in Florence (South Carolina) closed in July 1997. Among the missiles on display, a 'Ryan Firebee Model G Drone' is listed on this very nice home page. I guess this was a Model 147G. It was reportedly scrapped along with a major part of the collection.
The Beijing Aviation Museum of the Beihang University has what appears to be a AQM-34N (Model 147H) Firebee, but it could also be Chinese WZ-5 replica. Airliners has one photo by Yu Ming
The China Aviation Museum in Datangshan near Beijing, China has a WZ-5 replica Firebee on display. The book 'China today: Aviation industry' contains some information (page 161-162, and photo number 54). It reports that the WZ-5 was developed by BIAA starting in 1969. First two were built in 1972, followed by two more in 1976. Certification was granted in 1980, and it entered service the next year. Airliners.net has four photos of the WZ-5 under its Tu-4 carrier: 1, 2, 3 and 4.
An unknown museum in China has another Chinese WZ-5 replica Firebee on display.
For the record, and to avoid confusion, the following museums have a target Firebee on display or in storage:
The Air Force Space Museum at Cape Canaveral Air Station, Titusville, Florida, has an Air Force BQM-34 Firebee target drone in the restoration area (it looks ready for display though). It is marked as '2310' and has a stars and bars national insignia on the rear fuselage. See also this site.
The US Army Air Defence Artillery Museum was located at Fort Bliss (TX) until 2009, and had an MQM-34 on display. The museum was moved to Fort Sill (OK) in 2009, with a new website. In 2012 the museum's collection was expanded with a Q-2A, serial number 56-4112, formerly at the Redstone Arsenal (information courtesy of Jonathan A. Bernstein, Director / Supervisory Museum Curator).
The San Diego Air and Space Museum has a BQM-34F Firebee II on display. It has serial number 70-01418, and was donated to the museum by Teledyne-Ryan. It hangs from the ceiling, and does not have the belly tank. Let's go see it has a report on this Firebee.
The White Sands (NM) range has an outdoors White Sands Missile Range Museum with around 50 missiles and rockets. During the sixties the collection included a KDA Firebee, that had a red fuselage and white wings and tail surfaces. Three 'parachute' mission markings were painted on the left side of the front fuselage. Currently there's an US Army XM-21 on display, that might be the same aircraft. It is red with black wings and tail surfaces. The museum also has a BQM-34A, devoid of markings.