Judging by this exciting taster video it looks as though work is well under way on the Decentramon Decentraland District. This could be a great early example of how gaming within this district could look. Whilst still in its early stages, there are already some innovative ideas from the largely Japanese District.
Viewing battles by location and placing wagers on battles are just a couple of early ideas being discussed by the community.
イーサエモンのバトル（制作中）— dAppsMarket | ダプマ - Blockchain Gaming (@dapps_market) 25 June 2018
CORRECTION (15/09/2018): It transpires Etheremon and Decentramon are unrelated projects.