Why is male Jan 5 1963 coming up as a tiger reather a rabbit

According to the Chinese lunar calendar, his zodiac is Tiger.

There are 12 animals in the Chinese Zodiac, and the animals rotate along with the Chinese New Year, which does not fall on the traditional New Year (01/01/21) that we all celebrate. It typically falls around the beginning of February - This year it was on (02/12/21). So therefore you are a Tiger because the Chinese New year had not happened yet. I hope that makes sense. That is another reason these Calculators sometimes are not 100% accurate especially when they do not ask for the Month, day, and year. :)

In Chinese astrology the new year does not start on January 1st (it is obviously not the same as Christian new year) So when you look up any given year keep in mind that each year in Chinese astrology starts around mid February or sometimes end of February.