Football, rugby and other active team sports are one of the best ways to get fit. They will provide both the mental and physical stimuli that you need. They can also improve hand-eye coordination and there are myriad social advantages too. Though cricket and golf will help your fitness, they should not be your only exercise of the week.
What they work: it varies according to the sport but, generally, cardiovascular ability, leg strength, upper-body strength and overall fitness will all benefit.
There is a high chance of injury as you will not be able to control the conditions in which you are exercising. You will also need to make sure your fitness (and ability level) is of a reasonable standard before starting.