For large amounts of bright, natural looking light, double ended halogen bulbs are excellent options. They are most often found in floor lamps, but also used in certain table lamps, ceiling fixtures, and a handful of other lighting applications.
There are so many different configurations; it's actually hard to break them into manageable groups! In order to find your replacement bulb with as little stress as possible, it's best to actually search for it here, using the printed information you see on your old bulb. If, however, you wish to browse for your bulb, begin by choosing your wattage range here, and then utilize the filters provided to narrow down your search to a manageable level.
Double ended halogen light bulbs actually have a somewhat interesting reputation. On the plus side, they deliver a large amount of high quality light in a small amount of space. On the other hand, in certain light fixtures, they have actually caused some trouble for people. Specifically, they burn quite hot, and when they were used in old-style torchiere lamps; basically floor lamps with no hood to cover the bulb. These lamps could be tippy, and when tipped over, would expose furniture, flooring, and any other nearby materials to extreme heat, and ended up starting some house fires. In some cases, they didn't even need to tip; the curtains nearby would be moved too close and in some cases started on fire. Since these days, those types of fixtures have, for the most part, been re-engineered to eliminate these dangers.