ESPN has live coverage of the UFC Fight Night, NBA Finals, MLB and NHL Playoffs.
THURSDAY
NHL Playoffs
10:10am: Avalanche vs Oilers Live
ESPN2 MLB Live
9:00am: Yankees vs Angels Live
12:00pm: Mike Trout: Millville to MVP
FRIDAY
NBA Finals
10:30am: NBA Countdown Live
11:00am: Warriors vs Celtics Live
ESPN2 NHL Playoffs
11:30am: Lightning vs Rangers Live
SATURDAY
NHL Playoffs
10:00am: Avalanche vs Oilers Live
ESPN2 MLB Live
9:00am: MLB StrikeZone Live
12:30pm: MLB Plays of the Week
SUNDAY
NHL Playoffs
5:00am: Rangers vs Lightning Live
ESPN2 UFC: Volkov vs Rozenstruik
12:30pm: UFC Fight Night: Prelims Live
3:30pm: UFC Fight Night: Main Card Live
MONDAY
NBA Finals
9:30am: NBA Countdown Live
10:00am: Warriors vs Celtics Live
ESPN2 MLB Live
9:00am: Cubs vs Cardinals Live