Does the Earth orbit clockwise or anti-clockwise around the Sun?

It depends which way you are looking at it. If you are looking upon the solar system from the "top" or north (looking down on the North Pole), it is anti-clockwise. If you are looking from the south, it's clockwise. Since most of the people on Earth live in the northern hemisphere, we tend to consider things from the north (much to the chagrin of the Australians), so anti-clockwise (counterclockwise) it is.

Nearly all the spins and orbits of the planets (and the rotation of the Sun) are in the same direction, ie. counterclockwise when observed from above Earth's north pole. Some moons orbit their planets clockwise (retrograde orbits) and the planet Venus has somehow obtained a very slow clockwise spin.