Although not having such favorable weather conditions, almost all countries have aircraft in open storage. Aircraft with a future are often stored wherever in-house storage is available, often facilities built during the Cold War with plenty of space or no longer in active use. So, no probably not as big or centralized as AMARC. Sometimes aircraft bought under FMS are returned to the States and also end up at Davis-Monthan. Sometimes they are placed at some commercial maintenance company, awaiting a decision, after which the company would then be contracted to overhaul or scrap them. Especially in Europe, former bases with facilities have been available for decades now.
Your question is very open, but I will make an attempt at listing some storage places, some are more like dumps though. Rugao, China, is reportedly the second biggest after Davis-Monthan. I think Lipetsk, Cheben'ki (Russia) and Chateaudun (France) would be in the top 10.
Albania
Gjader, cavern hangar (F-7, F-6)
Tirana-Rinas airport, shelters (F-7, F-6, FT-5)
Kucove, cavern hangar (MiG-15)
Austria
at Zeltweg I believe
Australia
Damascus Barracks, Brisbane (UH-1H)
Belgium
Koksijde
Weelde (F-16)
Vissenaken depot, Brussels Air Museum
Bosnia & Heregovina
Mahovljani AB, Banja Luka (Sokol trainers)
Bulgaria
Dobrich
Dobroslawzi
Graf Ignatievo
all open storage of MiG-21s a.o.
Colombia
Apiay, open storage
China
Rugao airbase
Chad
dump at N'Djamena airport (Mi-17s)
Czech Republic
Prague-Kbely AB, LOM Praha overhaul company
Ecaudor
Taura AB, sun shelter / hangar (Jaguars)
France
Châteaudun (Magister, Jaguar, Mirage III/IV, C-160)
Clermont-Ferrand
Germany
Jever AB (F-4F scrapyard)
Georgia
TAM facility and Tbilisi-Vali airfield
Greece
Agrinion AB, open storage plus some shelters (F-104, A-7)
Israel
Lod AB (near IAI facility, adjacent Tel Aviv Int/l Airport) (C-130)
Italy
Bentivoglio a.o.
Laos
Xieng Khouang AB, open storage (MiG-21, Y-7)
Lebanon
Rayak AB
Lithuania
Siauliai AB, open storage (An-2, L-39)
Netherlands
Woensdrecht AB / Fokker Service facility (Fokkers, F-16)
Soesterberg AB and depot
Pakistan
PAC facility, Kamra (Mirage 5, FT-5, F-6)
Peru
Callao
Portugal
Alverca
Romania
Boboc AB (An-32 a.o.)
Craiova (IAR-93 a.o.)
Russia
strategic reserves... among others:
Ryazan-Dyahilevo air base, (Il-76/78)
Protasovo, Ryazan (Mi-8/24)
Kasimovo (Mi-8/24)
Lipetsk, (MiG-23/27/29/31, Su-25/27)
Migalova, (An-22)
Cheben'ki, (MiG-27/29, Su-17/22/24, L-29)
Tambov, (L-29/39, MiG-23/27)
Totskoye-2 AB, (Mi-2/8/24)
Rzhev (MiG-25, Su-24)
Slavgorod
Step-Olovyannaya
not to mention the dozens of operational types scattered across operational bases and repair bases awaiting overhaul
and then the probably hundreds of dumps
Serbia
Moma Stanojlovic air depot, Batajnica
Aviation museum, Belgrade (G-2, G-4, J-22, Ka-28, the latter will be return to service)
Slovakia
Sliac AB
South Africa
Waterkloof AB, open storage (C-160)
Sweden
Mälmslätt AB (Gripen reserves?)
UK
Boscombe Down
Ukraine
Aviakon company, Konotop, mainly open storage (various Mils, L-39)
Odesa Aircraft Repair State Enterprise facility (MiG-21/23, L-39)
Lviv air base, MiG-21/23/29
US
http://www.johnweeks.com/boneyard/index.htmlFeel free to add more.