When making a new world, using a random seed is exciting and can provide hours more fun when you have no idea what you're going to get. Problem is, you can't actually check the physical seed you are playing at the moment on the 360 Edition.
So how about generating the seed manually before you start, and just entering it in when you create your world?
Use these settings for the chance to get every single seed possible: http://img543.imageshack.us/img543/6425/ss20120520at065811.png
(The max. amount of characters in a seed is 60. A seed can use lower case, upper case, symbols and numbers. Using I, 1, etc. makes sure you can get every single seed possible. In theory, this allows you to generate every single possible seed ever.)
Then if the world turns out to be a pretty damn good one, you already have the seed and can recreate the world as many times as you like, or even share with friends! And what's great is that the seed and world is still random!