In addition to the recreational activities mentioned, are you also suggesting a Catalog point system? That is what your conclusion part says.
Also, before drafting such a proposal, you will have to keep in mind the budget allocation for the same from management if they are willing to allocate the estimated amount mentioned in your proposal.
Alternatively, you can conduct monthly recreational activities by organizing games, etc. Perhaps you could establish a fun committee that arranges activities every month.
Just my view. I would like to see what the rest come up with