"Which pair of shoes would you like to buy?"

Translation: 你想买哪双鞋子？

[Slade366]

How about 哪双鞋子你想买？

[susu700886]

Sounds unnatural... The subject of the sentence is 'you', so that should go first. If theres a specific pair of shoes someones asking whether you want to buy, then it can go first. Ie 那双鞋子你想买吗？note the use of 那，which means 'that', rather than 哪，meaning 'which'