How many beers would it take to get a shark drunk? Specifically Miller
Lite and a Great White

Great Whites are snobs and only drink micro-brews. 
I believe hammerheads are less finicky.

There may be a couple of problems here:

1. Sharks do not drink. They absorb fluid by osmosis through gill tissues.

2. Alcohol is poisonous to fish. In fact, it is sometimes used to
euthanize them. So, even if you found a way to immerse the shark in
beer so that it would pass through his gills, rather than becoming
drunk, your shark would probably become ill, and then dead.

How can the shark open the can?

Yeah! So don't you dare attempt to really submerge a great white shark
in alcohol. Got it?

pinkfreud thank you for your follow up here are some clarifications 
1) Alcohol is poison to humans also.
2) The shark doesn't necessarily have to drink the beer it can get it
in the system in one of two ways:

   a) Through osmosis as you suggested(if this is the case I would
like to know what concentration of beer/water would be enough to get
the shark drunk in parts per billion but not kill him)
   b) by eating people who are drunk. Assuming .16 BAC and 180lbs.
Please find the number of people the shark would need to consume(I
understand the shark might get full after a few people, but go with
it). I can figure out the number of beers from there.

kemlo- I was thinking kegs for transport efficiency, so the shark
would be drinking out of a red cup like the rest of  us.

I don't believe any studies have been carried out on the effects of
alchohol on great whites, and I assume any proposal for such a study
would not get past the ethics board of any research institution or
university.

There has however been a study of ethanol on Zebrafish.

Cynthia A. Dlugos and Richard A. Rabin, Ethanol effects on three
strains of zebrafish: model system for genetic investigations,
Pharmacology Biochemistry and Behavior, Volume 74, Issue 2, January
2003, Pages 471-480.

Interesting question - I hope you're not working at Sea World in the summer.