Order in Japanese can be easy actually, just say something “o kudasai“, meaning, something please.

To make it the most easy foreigner way to order, just point at the thing you want and say kore o kudasai. Meaning, “this please”.

• English: This one please
  Japanese: これを下さい
  Pronunciation (romaji): kore o kudasai

Wanna order beer? Say, “biiru o kudasai”

• English: Beer please.
  Japanese: ビールをください。
  Pronunciation (romaji): biiru o kudasai.

Wanna order one beer? Say, “biiru o hitotsu kudasai”

• English: One beer please.
  Japanese: ビールを 1つください。
  Pronunciation (romaji): biiru o hitotsu kudasai.