The largest refrigerated transport companies in Australasia are:

1. Linfox – Linfox is an Australia-based company that specializes in providing logistics and supply chain solutions. The company operates a fleet of refrigerated vehicles and provides refrigerated transportation services for a variety of goods, including food and beverages, pharmaceuticals, and chemicals.
2. Toll Group – Toll Group is an Australia-based company that specializes in providing logistics and supply chain solutions. The company operates a fleet of refrigerated vehicles and provides refrigerated transportation services for a variety of goods, including food and beverages, pharmaceuticals, and chemicals.
3. Mainfreight – Mainfreight is a New Zealand-based company that specializes in providing logistics and supply chain solutions. The company operates a fleet of refrigerated vehicles and provides refrigerated transportation services for a variety of goods, including food and beverages, pharmaceuticals, and chemicals.
4. Star Track – Star Track is an Australia-based company that specializes in providing logistics and supply chain solutions. The company operates a fleet of refrigerated vehicles and provides refrigerated transportation services for a variety of goods, including food and beverages, pharmaceuticals, and chemicals.
5. CHEP – CHEP is an Australia-based company that specializes in providing logistics and supply chain solutions. The company operates a fleet of refrigerated vehicles and provides refrigerated transportation services for a variety of goods, including food and beverages, pharmaceuticals, and chemicals.

It is worth noting that the above companies are examples of companies that operate in Australasia and are not a comprehensive list of all refrigerated transport companies in the region. Additionally, the size and value of the refrigerated transport industry in Australasia may vary depending on the specific country or region. The transportation and logistics industry in Australasia is constantly changing and it is important to conduct further research to get the most updated data.