The British colonial city of Ipoh had humble beginnings, but has blossomed into a beautiful cityscape that marries old-world charm with modern amenities. This is a foodie's city, offering endless street stalls and restaurants all eager to serve up a sample of mouthwatering local fare. Walk it all off on a jaunt through breathtaking limestone caves that seem carved by the capable hands of a higher power.

A bargain shopper’s delight is just across the causeway in Malaysia, with numerous bus and train services available to ferry travelers across the border. The largest and most popular malls are easily accessible from the checkpoint and offer a blend of name-brand and knockoff shopping. Dig deeper and you’ll appreciate the city’s differences, good and bad, from Singapore, though rumors of rampant crime are overblown. Museums and places of worship abound, along with good dining for any budget. A new premium outlet mall opened just outside the city in December 2011, and keep an eye on the new Legoland Malaysia, slated to open at the end of 2012.

Kuching is a fine choice for an enriching vacation that's as packed with learning as it is leisure. Its many museums and impressive planetarium will enthrall even the tiniest travelers, and a quick climb to the top of the Kuching Civic Center will reward you with jaw-dropping 360-degree views. Grab a snack from a stall on the bustling waterfront, and don't miss the absolutely massive Sunday market, which is an electric experience for shoppers, vendors, and observers.

The charming Vietnamese capital has aged well, preserving the Old Quarter, monuments and colonial architecture, while making room for modern developments alongside. Hanoi may have shrugged off several former names, including Thang Long, or "ascending dragon", but it hasn't forgotten its past, as sites such as Ho Chi Minh's Mausoleum and Hoa Lo Prison attest. Lakes, parks, shady boulevards and more than 600 temples and pagodas add to the appeal of this city, which is easily explored by taxi.

The people of Tamil Nadu consider providing food to others a service to humanity. Thus the service in the state capital, Chennai, is first-rate. Treat your senses to some of the richest South Indian flavours in traditional dishes like sambar, rasam, fish curry or kootu. And don't forget to have a cup of full-bodied Tamil coffee, enhanced with chicory—no visit is complete without it.

The holy city of Rishikesh, in the base of the Himalayas, holds deep cultural and spiritual significance for local Hindus. Sacred rivers and mountains set the scene for yoga and reflective hikes, and rafting here is an absolute must. The Beatles got in touch with their Eastern spiritual side here, writing several songs during a 1968 stint at a local ashram.

Inhabited since the 11th-century, what is now Kigali has been the home of Twas, Tutsis and Hutus. The city sits on a series of verdant ridges and lush valleys, and has a Muslim Quarter and a bustling market. Rwanda's capital is the site of battles that left over a million, mostly Tutsi and moderate Hutus, dead. Kigali Memorial Centre is a permanent memorial to 1994's Genocide, built on a mass grave where 250,000 are buried. Kigali City Tour Bus offers an excellent introduction to this now safe, friendly city.