You can go for overland travel to enter Nepal from both India and Tibet.
If you are in Tibet, you can enter Nepal by crossing the border at Kodari. Thereafter, take a bus to Kathmandu. This will take you 7 to 12 hours depending on the road conditions.
The easiest and hassle free overland route to Nepal from India is via Gorakhpur using train and the Sunauli/Belahiya border post. The only direct buses from this route to Kathmandu run at night and take approximately 9 hours. Raxaul/Birgung border post can also be used to visit Nepal. But this may not leave you with a pleasant travelling experience. If you are in Darjeeling you can come to Nepal via Karkabhitta. There are also several border crossings in west Nepal.
Kathmandu is the only international airport in Nepal. There are a number of International Airlines with direct flights to Kathmandu.
Thai Airways International operates daily flight between Bangkok and Kathmandu.
Qatar Airways flies daily between Doha and Kathmandu with connecting flights to/from Europe and America.
Gulf Air has daily flight between UAE and Kathmandu with connecting flights to/from Europe and America.
Air China flies between Lhasa, with connecting flights to/from mainland China.
Austrian Airlines flies between Vienna and Kathmandu once a week
Indian Airlines have frequent flights between Delhi, Calcutta and Kathmandu.
Royal Nepal Airlines fly -
between Hong Kong and Kathmandu.
between Bangkok and Kathmandu.
between Singapore and Kathmandu via Bangkok.
between Osaka and Kathmandu via Shanghai.
between Delhi and Kathmandu.
between Bombay and Kathmandu.
Beside these there are Biman Bangladesh, Jet Airways, Pakistan Airlines, connecting Kathmandu with many countries.