If you are a budget traveler then Nepal, Bhutan, Indonesia, Bangkok, Srilanka, Myanmar are few to be mentioned neighboring countries with it's uncounted beauty. And if you are a layer up of budget travelling then you can go to Istanbul, Australia, European countries Good Luck! Happy Travelling!!
In January it is always best to travel towards the east. countries like Thailand, Singapore, Vietnam Australia and New Zealand would be a great place to visit at that time of the year as the weather will be pleasant and you can make the most of your trip