You have a lot of leftover food from a party you had yesterday. You are suggesting that you shouldn't cook dinner tonight. You say this, and then give a reason why:
It's not like we need any more food.
This phrase basically means that a statement is not true. In the example above, the statement "we need some more food" is not true.
You use "it's not like ___" when you want to give a reason for doing or not doing something. For example, if you're trying to convince your parents to let you borrow their car for the weekend, you can say:
It's not like I'm a bad driver or anything.
For another example, if a family member is telling you not to eat fast food, you can say:
It's not like I eat fast food all the time.
You use the word "any" in a negative sentence, with "not":
We don't have any laundry detergent left.
There aren't any good restaurants around here.
In a positive sentence, you use "some" instead:
We have some laundry detergent.
There're some good restaurants around here.
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