Africaans (spoken in SouthAfrica and Namibia):

Veels geluk met jou verjaarsdag

Albanian (spoken in Albania, Republic of Macedonia, Kosovo, Serbia, southern parts of Italy, parts of Greece, minority language in Montenegro):

Urime ditelindjen

Armenian (spoken in Armenia):

Tsenund shnorhavor

Basque (spoken in parts of Spain and France):

Zorionak!

Bisaya (one of the dialects in the Philippines)

Malipayong adlawng natawhan!

Chinese (spoken in China, Republic of China (Taiwan), Hong Kong, Macau, Singapore and by ethnic minorities in Indonesia, Malaysia and Brunei, also by Chinese expats all over the world) -There are 2 ways of writing (the simplified one = jiantizi, used in PR China, Singapore, Brunei and the traditional one = fantizi, used in Taiwan and Hong Kong, in the other areas you will find both ways of writing) 

jiantizi:   生日快乐

fantizi:  生日快樂

both spoken:  Sheng Ri Kuai Le

Finnish (spoken in Finland, Estonia, Ingria, Karelia (Russia), Norway, Sweden, Torne Valley)

Hyvää syntymäpäivää

French (spoken in France, Algeria, Belgium, Benin, Burkina Faso. Burundi, Cameroon, Canada [only some areas], Central Africrican Republic, Chad [also Arabic], Comoros, Djibouti, Equatorial Guinea, Gabon, Guinea, Haiti, Italy [only Aosta Valley, there official language], Ivory, Luxembourg [besides German and Luxembourgian], Madagascar, Mauritania, Mauritius [many other languages], Monaco, Morocco, Niger, Rwanda, Senegal, Seychelles, Switzerland [besides German and Italy], Togo, Tunisia; also Democratic Republik of Congo and Republik of Congo [but these aren’t on the RFN list] - in the following countries French is spoken by minorities only, here browsing the primary language may be helpful: Andorra, Lebanon, USA [Louisiana, Maine, New Hampshire and Vermont]):

Joyeux Anniversaire

German (spoken in Germany, Austria, Switzerland, Luxembourg, Belgium, Liechtenstein, northern parts of Italy [there German is official language - the only one or together with others], Namibia [there German was official language till 1989 and still is spoken by a very high percentage of people], Romania and Russia [there are areas with high percentage of German speakers]):

Herzlichen Glückwunsch zum Geburtstag und alles Gute für das neue Lebensjahr!

Greek (spoken in Greek and Cyprus):

Ευτυχισμένα Γενέθλια

Hungarian (spoken in Hungary, parts of Romania [for example:Transylvania], Ukraina, Austria, Canada [for example: Toronto] and Czech country and Slovakia):

Boldog szuletesnapot

Ilongo (another dialect from the Philippines)

Masadya nga kaadlwan!

Indonesian / Bahasa Indonesia (spoken in Indonesia):

Selamat Ulang Tahun

Luxembourgish (spoken in Luxembourg):

Vill Gleck fir daei Geburtsdaag

Norwegian (spoken in Norway and Svalbard):

Gratulerer med dagen!

Romanian (spoken in Romania, Republic of Moldova, parts of Serbia and by minorities in Russia, Ukraine, Hungary, Bulgaria):

La Multi Ani

Swedish (spoken in Sweden and Finland):

Grattis på födelsedagen!

Tagalog (spoken at the Philippines)

Maligayang Bati sa iyong kaarawan!

will be continued soon