I think any big company would think of Game.co.uk, Game.net, Game Limited, Game the big UK retailer, all one and the same entity, and would be too concerned to register gameltd.co.uk for fear of getting sued. Registering a UK company of the domain doesn't offer much legal protection and putting up affiliate links to other game companies would be like a red rag to a bull.
If the UK company Game didn't already exist this domain would still be worth very little. Nobody wants "ltd", "plc", "limited" etc after their keyword unless it's the only thing they can reg. Regging something that might get you sued and then registering a company of the same name to try to back it up is foolhardy.
A couple of Chinese domainers who presumably monitor UK company formations have registered Gameltd.com and Gameltd.cn in case your domain protection company takes off and you want to buy the .com or expand into China.