Are you expecting a New Year's baby?
If your baby is due near the start of the new year, here are some male and female names from various name day calendars (both national and religious).
Male: David (France), Tamas (Hungary), Thomas (Anglican & Roman Catholic)
Female: Milada (Slovakia), Tamara (Hungary)
Male: Abel (Sweden), David (various countries), Roger (France)
Female: Josephine (Church of England)
Male: John (Anglican), Sylvester (various countries & Roman Catholic)
Female: Colombe (France)
Male: Vasil (Bulgaria)
Female: Fruzsina (Hungarian), Vasilena (Bulgaria)
Male: Basil (Anglican & Roman Catholic), Gregory (Anglican & Roman Catholic), Johann (Lutheran)
Female: Alexandra (Slovakia), Beatrix (Germany), Eliza (Anglican Church of Australia), Svea (Sweden)
Male: Alfred (Sweden), Benjamin (Hungary), Elmer (Finland)
Female: Daniela (Slovakia), Genevieve (France)
Male: Odilon (France), Rygobert (Poland), Titusz (Hungary)
Female: Anastasia (Russia)
Another name I always thought would be particularly fitting for a New Year's baby is Dagny, a Scandinavian name meaning "new day." Other names that mean "new" in some way are Neville, Newton, Nova, Signy and Torny.
Finally, for January babies in general, you could always consider the names Janus (the Roman god on whose name January is based), Garnet (the birthstone for January), or Winter (the season within which the month falls).