I would like to prove an offset opinion to the suggestions above.
The vast majority are books about the investing overview (e.g. asset allocation, rebalancing, etc). They may provide good discussions on indexing, but they do not provide any advice about the actual nitty-gritty of stock-picking.
Some promote ideas that are 'suspect'. E.g.
* that you should ignore the capital gains/losses on your stock and pay attention to only the dividends.
* that dividends will make up the greatest portion of your total return.
* that asset allocation will increase your returns.
* that back-testing 'proves' that screening for specific attributes will outperform the market.
* that there is such a thing called "margin of safety" which even Benjamin Graham cannot define consistantly from page to page or book to book.
Even the books that deal directly with stock picking never seem to give you the bad news - that you must first be able to read and understand financial statements. As a result, too many people finish reading a dozen of these books and think they are qualified to pick stocks.
Before you even THINK about moving beyond indexing into stock-picking see if you have the
necessary attributes.