Australian Company

In Australia you need to register a company with Australian Securities & Investments Commission. To check for the available names see the index of corporate and business names:
http://www.search.asic.gov.au/gns001.html

New Zealand Company

This New Zealand government site allows you to form and maintain companies, search the register and file your annual return. You are able to search the register for information on: Companies, Incorporated Societies and Charitable Trusts, Directors, Shareholders and Company Addresses as well as Banned Directors and Managers.
http://www.companies.govt.nz/pls/web/dbssiten.main

UK Company

Companies House UK is the official UK government register of UK companies. Companies House website for checking the names is available from Monday to Saturday 07:00 - 12 Midnight UK Time.
http://www.companieshouse.gov.uk/WebCHeck/fastrack

Singapore Company

A foreign corporation may register a branch or incorporate a Singapore subsidiary company. For more information contact Singapore Registry of Companies and Businesses.
http://www.business.gov.sg/start/reg-index.htm
and http://www.gov.sg

Malaysia Company

A foreign company cannot carry on business in Malaysia unless it incorporates a local company or registers a branch in Malaysia. A foreign company desiring to establish a place of business in Malaysia must procure registration with the Companies Commission of Malaysia (CCM).
The procure registration of a foreign company, an application must be made to the Registrar in a prescribed form (Form 13A) to ascertain whether the intended name of the foreign company is available or not, with a payment of RM30.00. The application can be filed at the CCM in Kuala Lumpur or through any of its branch offices in Malaysia.
http://www.ssm.com.my/services_foreign.htm