As of August 2015, you can find information about the stock market by date on websites that contain stock charts with market data, such as StockCharts.com. Stock price charts that use candlesticks show the open, high, low and close for the day, according to ChartSchool on StockCharts.com.
StockCharts.com allows a user to select a date range for any stock or stock index. For example, if a user wants to view information for the Dow Jones Industrial Average on Oct. 19, 1987, he can type "$INDU" into the symbol field and a matching date range into the range field. The StockCharts.com candlestick chart for that date indicates that the Dow opened at and had a high of 2164.16. The low was 1677.55, and the close was 1738.74.