And in case I missed anyone..

Afrikaans – Gelukkige nuwe jaar
Arabic – Antum salimoun

Bengali – Shuvo Nabo Barsho

Chinese – Chu Shen Tan
Czechoslovakia – Scastny Novy Rok

Dutch – Gelukkig Nieuwjaar

English – Happy New Year!
Eskimo – Kiortame pivdluaritlo

Finnish – Onnellista Uutta Vuotta
French – Bonne Annee

Gaelic – Bliadhna mhath ur

German – Prosit Neujahr
Greek – Kenourios Chronos

Hawaiian – Hauoli Makahiki Hou
Hebrew – L’Shannah Tovah
Hindi – Subh Nab Bars
Hungarian – Boldog Uj Evet Kivanok

Iraqi – Sanah Jadidah
Irish – Bliain nua fe mhaise dhuit
Italian – Buon Capodanno

Kisii – Somwaka omoyia owuya
Khmer – Sua Sdei Chnam Thmei

Laotian – Sabai dee pee mai

Norwegian – Godt Nyttar

Papua New Guinea – Nupela yia i go long y
Philippines – Manigong Bagong Taon
Polish – Szczesliwego Nowego Roku
Portuguese – Feliz Ano Novo
Punjabi – Nave sal di mubarak

Russian – S Novim Godom

Serbo-Croatian – Scecna nova godina
Singhalese – Subha Aluth Awrudhak Vewa
Slovak – A stastlivy Novy Rok
Spanish – Feliz Ano Nuevo
Swahili – Heri Za Mwaka Mpya
Sundanese – Sugeng Warsa Enggal

Telegu – Noothana samvatsara shubhakankshalu

Thai – Sawadee Pee Mai
Turkish – Yiliniz Kutlu Olsun

Ukrainian – Shchastlyvoho Novoho Roku

Vietnamese – Chuc Mung Tan Nien