In Mexico, besides "cerveza" we call beer the following:
- pisto (anything with alcohol)
These are used informally.
Are there any other words used to address beer in spanish in other countries?
In Spain it is very spread call it in a slang way as "birra" (not a word accepted by RAE but it means beer in Italian).
You can also hear "rubia" for a lager. "Cerveza rubia" is the complete name, though some people call it just "rubia" (it is more informal to call it "rubia" intead of "cerveza rubia"). The context of the sentence should make it clear you are referring to a lager beer instead of a blonde woman.
And "caña" if it is a beer in a glass instead of in a bottle (which is called "botellín de cerveza" if it is small, "litrona" if it's a bottle of 1 litre). Also as Peter Taylor suggests (thanks) third a litre is called "tercio" and you can use it to ask for 33cl of beer.
As MikMik points out there are some different names for the beer depending on the size of the glass. When the size of the glass is small (about 125 or 150cl) it is called in many ways, for example:
the name of "caña" is usually for a bigger glass.
As MikMik also points out "Garimba" is also a term used, at least in the Canary Islands.
In Spain we mostly use "birra" and "caña" (besides "cerveza").