Selection
Select only the best of your pictures to show to others and leave the rest in the drawer. Showing someone every picture you have taken dilutes the effect of the best pictures and gets very boring. You may want to show twenty pictures of little Johnny at the park because they are all quite good and you can't decide which are the best but, trust me, you will be better off making that decision and showing only the few good ones.
Turn the Camera on it's Side
At first it feels awkward holding the camera on it's side, but it is worth getting used to. If the shape of your subject, a person or a building, fits into an upright rectangle, you waste so much picture space if you shoot in landscape. You paid for all those millions of pixels, don't waste them.
Framing
One of the easiest ways to improve your photography is with careful attention to framing. Look into the corners of the viewfinder to see what is there. Do you need all that background? Can you get closer to your subject or zoom in?
Direction of Lighting
Photography is all about light, the direction of the light falling on your subject is most important, you must look at your subject carefully and see how the shadows fall.
If you are able to choose the time of day to shoot your pictures, try to pick a time when the sun is low in the sky, either shoot in the early morning or late afternoon. A nice side effect of shooting in the early morning or late afternoon is that the colour of the light is 'warmer', reds and yellows are stronger which generally gives a more pleasing effect.
Apertures
If depth of field is important to either make sure everything is in focus or to throw some things out of focus, select the 'Aperture Priority' mode on your camera. In this mode you select the aperture and the camera selects the shutter speed according to the available light.
In Camera Flash
When you have to use the in camera flash, keep your subject(s) away from walls, especially light coloured ones, if at all possible, and avoid that ugly black shadow which looks like an outline. This will not show up against a dark background.
Shutter Speeds
When the shutter speed is important as with moving objects, it's a good idea to set the camera to 'Shutter Speed Priority' mode. This is where you select the shutter speed and the camera selects the appropriate aperture according to the light reading.