Scrabble, Scatergories are two of my favorite board games for a large group of people.
Card games could include: Apples to Apples, Uno, Skip-Bo, Phase 10
Then again it depends on what you call large...If you talking about 10 people or more I would lean more towards card games.
Another game I have a lot of success with in larger groups is Catch Phrase. All these games are quite fun.