The phrase "vigorous game" is correct and usable in written English.
You can use it to refer to an activity that involves a lot of physical effort and energy. For example, "The two teams played an intense, vigorous game of basketball."
A vigorous game of executive musical chairs has been taking place in the business software market.
Not far from where Berhanu stood, a vigorous game of soccer was in progress.
His vital, vigorous game was too much for hulking Tomas Berdych.
I am 62 years old, still play a vigorous game of tennis, ski, do my own gardening and do not think of myself as old.
Young women in chadors were playing a vigorous game of volleyball in a nearby park, and students lounged around drinking tea and strumming guitars.
No longer could they let off their youthful energy — pent up from hours of long division — by cavorting outside for 22 minutes of unstructured play, or perhaps with a vigorous game of tag or dodgeball.
Nearby, older people speaking Chinese filled a supermarket-size storefront with vigorous games of table tennis, billiards and mah-jongg, and ordered free lunch from a takeout menu featuring minced pork, beef and salty fish.
Once he could walk, his parents paid for him to learn to swim in the outdoor pool of Lukacs Thermal Baths opposite, where, overlooked by slim, mullioned windows in the ochre façades, he played ball with his friends from the hospital in the shallow end, or watched the vigorous games of water polo being played at the other end.
Don't get the baby excited with vigorous games, or let visitors play with the baby before bedtime as this will stimulate, rather than soothe, your child.
The trick is to channel this energy safely away from your hands and feet, by getting the kitten to play vigorous games of chase with a toy on a string.
But a flurry of charges and countercharges showed that a vigorous blame game was already under way as the BBC and various parts of the government sought to protect their reputations and deflect responsibility for events leading to the death of Dr. Kelly.
