Singapore is known as a bustling metropolis that also happens to be one of the cleanest and safest cities of its size in the world. (Just make sure you heed the local laws—something like spitting in the street might merely be considered rude in your hometown, but here, it carries a severe penalty.) You'll find historic sites like the Thian Hock Keng temple, superlative shopping (including gargantuan malls) and numerous beaches.

The proud black “crow castle” of Matsumoto keeps watch over a city that’s rapidly developing into an epicenter of food and culture. Slurp noodles made from local soba or taunt your taste buds with product from the Daio Wasabi Farm. Take a soothing soak in a local hot spring or spend a few minutes in the Timepiece Museum. Classical music fans should consider a visit during the Saito Kinen Festival Matsumoto, founded by famed conductor Seiji Ozawa.

Tradition collides with pop culture in Tokyo, where you can reverently wander ancient temples before rocking out at a karaoke bar. Wake up before the sun to catch the lively fish auction at the Toyosu Market, then refresh with a walk beneath the cherry blossom trees that line the Sumida River. Spend some time in the beautiful East Gardens of the Imperial Palace, then brush up on your Japanese history at the Edo-Tokyo Museum. Don’t forget to eat as much sushi, udon noodles, and wagashi (Japanese sweets) as your belly can handle.

Dubai is a destination that mixes modern culture with history, adventure with world-class shopping and entertainment. Catch a show at the Dubai Opera, see downtown from atop the Burj Khalifa and spend an afternoon along Dubai Creek exploring the gold, textile and spice souks. If you’re looking for thrills, you can float above the desert dunes in a hot air balloon, climb aboard a high-speed ride at IMG Worlds of Adventure or skydive over the Palm Jumeirah.