Traditional geocaches are what you would call classic caches, like the first one ever hidden. Someone takes a container, whether a Tupperware box or an ammo can, and puts items into it like a logbook, pen and maybe a geoswag. The containers used are usually watertight, a must when hiding things out in the wild. They should also be pretty strong to protect them from animals that find them before geocachers do. Because of recent events, Tupperware boxes have become more widely used because someone carrying a “food container” isn't viewed as suspiciously as someone carrying an ammo can.
Items in a geocache container generally include a log book along with a pen or pencil so people can write down their name and time they visited the cache. They may also find a collection of toys, souvenir items, site-specific information, hitchhikers (travel bugs) or any other items of potential interest.
A souvenir item is to remind you of a particular geocache that you visited. It can be a cachecard, which is a business card that states the name of the cache and other information like the name of the cache owner, geocache coordinate and maybe even a photograph of the place where you found the cache. You can collect them or leave them at other geocaches to invite other geocachers to visit that cache.
Some people also buy geocoins to add to their own cache. Geocoins are usually metal and has an encryption of the cache's owner or the regional geocaching group and a logo. You can make your own out of polymer clay or order them from stores.
Cameras you will find in geocaches are usually the disposable type with a flash. You can use this to take a picture of yourself or your group to celebrate finding the geocache. The cache owner will from time to time pick up the disposable camera and have it developed. The cache owner can then scan the pictures and post them on a webpage so geocachers who found the cache can see themselves.
Site-specific information is rare but always fun. They are usually in the form of printed sheets which visitors can take with them. You can find out about the historical significance of the site or any other unusual information related to it. This usually adds more enjoyment to your geocaching adventure.