Schools are banning the activities due to fears of broken bones and even nut allergies, according to a survey by the Association of Teachers and Lecturers (ATL).
It also reveals that pupils are being taken on fewer school trips due to too much form-filling, a lack of time, funding and safety fears.
Almost three in 10 (29 said pupils are forbidden from playing conkers and nearly one in 10 (9 said children were prevented from playing marbles and the same percentage said chasing games like tag had been banned.
One primary school teacher told researchers: "Apparently the main problem with conkers is that nut allergy sufferers are increasingly allergic to them."
"Bulldog is banned because of the number of broken bones it generates," a secondary school teacher said.
In total, one in six (15) cited the reduced number of staff available to supervise pupils as the reason for this, while more than half (55) said there was a fear of being sued if something went wrong in a game.
Does this make you sad?
Do you think we're bringing up a cotton wool generation who will never experience the fun of games like tag and British bulldog?
Does your children's school have such bans in place?