the word "menu" in the context of gaming The word for a food menu is 菜单 Càidān, sensibly translating as "food list."

But what would you call a game menu? I could only think of 选项 Xuǎnxiàng, but this "options", which may be a sub item in the game's menu.
菜单 in Mainland China, 选单 in HK/Taiwan are the standard translations for menu in Computer Software, no matter it's in a game, a line-of-business application or a utility. 

Main menu is translated into 主菜单 in Mainland China and 主选单 in HK/Taiwan.

And you're right about 选项 is referring to options or settings menu, which is usually a sub item in the main menu.

Searching Google for '游戏主菜单' or '游戏主选单' you'll get plenty of examples.