I have a Wacom Bamboo Fun and a Wacom Intuos 4 M.
The Wacom Bamboo Fun is very good exactly for that: Fun. Super nice and easy to use, the drawing surface is on the small side but big enough still. It has 512 levels of pressure sensitivity, which is not a lot, but you can draw very nice with it.
The pen is very comfortable to use, and it comes with 5 replacement nibs. The pen has 2 buttons on it.
It also has some customizable side buttons, though I didn't use them.
The Wacom Intuos 4 M is my brand new sparkly shiny tablet and I love it.
It's more for those who are a bit more serious about drawing, and not just doodling. I bought the Medium sized tablet, because it seemed the best size for the way I draw. Any bigger and I probably would have to draw from the elbow and shoulders instead of the wrist, which I don't like to do.
It has ~2024 levels of pressure sensitivity, with which you can practically draw anything from a barely visible line to a perfectly solid, continuous one.
It also has very nice side buttons, which are fully customizable to your needs. Super easy to set those up. I have modified mine to have the "undo", and "save" functions in Photoshop. You can customize tablet button settings to do different things in different programs. The convenient readouts next to the buttons actually write down what function the button does. The pen here also has 2 buttons on it, fully customizable.
The pen is very comfortable to hold and to draw with, although the pen nibs do wear down pretty fast in the beginning because of the slightly textured material of the drawing surface (it feels kind of like drawing on a smooth paper a bit). Once you draw enough so that the surface is smooth, the pen nibs last longer.
The Wacom Intuos 4 M comes with a cool pen holder, and by screwing the bottom off of it, you find 5 regular nibs, 3 charcoal feeling nibs, 1 pencil feeling nib, and a nib with a spring in it to mimic the feel of a brush.
This is all I can think of right now.

If you have any more questions about these 2 tablets, just ask