You can get floor lamps that are designed like a tripod or ones that reflect light up towards the ceiling.
Side lamps come in standard design styles or imaginative ones like hexagons, squares, circles. They can even come be in the form of objects, like cars, boats, shoes, etc.
Desk lamps tend to be more angular and can be manoeuvred. Making it easier to shine on a particular object.
The type of lamp you choose depends on what you'll use it for and where it's going to be placed.
The style of lamp you choose on the other hand is entirely up to you.