Unless there are last-minute changes the following championships are scheduled to resume soon:

 Very likely or confirmed

NRL – Rugby League
Australia & New Zealand 
Set to restart on May 28

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AFL – Australian Rules Football
Australia
Will start again on June 11

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Super Rugby – Rugby Union
New Zealand
5 Kiwi franchises will organize a reduced competition from June 13

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UFC 250 – Mixed Martial Arts
Yet to be confirmed date, fight car and venues but very likely in Las Vegas

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Less likely but possible:

English Premier League – Football
England
Maybe or not in the second half of June

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La Liga – Football
Spain
Discussions  running for a possible restart before the End of June

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Serie A – Football
Italy 
Aims to resume in the middle of June

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Formula 1 – Motorsports
Hoping to restart at the beginning of July

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Stay tuned for further updates!