| WTA Tour – Grand Slam – French Open (Semifinal #1) | 2021 | | 10 June |
| NHL – Championships – Stanley Cup finals (Second round) | 2021 | | 30 May–10 June |
| WTA Tour – Grand Slam – French Open (Semifinal #2) | 2021 | | 10 June |
| ATP Tour – Grand Slam – French Open (Quarterfinal #4) | 2021 | | 9 June |
| NHL – Championships – Stanley Cup finals (Second round) | 2021 | | 29 May–9 June |
| ATP Tour – Grand Slam – French Open (Quarterfinal #1) | 2021 | | 9 June |
| ATP Tour – Grand Slam – French Open (Quarterfinal #2) | 2021 | | 9 June |
| ATP Tour – Grand Slam – French Open (Quarterfinal #3) | 2021 | | 9 June |
| WTA Tour – Grand Slam – French Open (Quarterfinal #4) | 2021 | | 8 June |
| NHL – Championships – Stanley Cup finals (Second round) | 2021 | | 30 May–8 June |
| WTA Tour – Grand Slam – French Open (Quarterfinal #1) | 2021 | | 8 June |
| WTA Tour – Grand Slam – French Open (Quarterfinal #2) | 2021 | | 8 June |
| WTA Tour – Grand Slam – French Open (Quarterfinal #3) | 2021 | | 8 June |
| NHL – Championships – Stanley Cup finals (Second round) | 2021 | | 2–7 June |
| Formula 1 – Grand Prix – Azerbaijan Grand Prix | 2021 |  | 6 June |
| World Rally Championship (WRC) – Rallies – Rally Italy (Sardegna) | 2021 | | 3–6 June |
| World Championships – Men | 2021 | | 21 May–6 June |
| NBA – Championships – NBA Finals (Western first round) | 2021 | | 22 May–6 June |
| NBA – Championships – NBA Finals (Western first round) | 2021 | | 23 May–3 June |
| NBA – Championships – NBA Finals (Western first round) | 2021 | | 22 May–3 June |
| NBA – Championships – NBA Finals (Western first round) | 2021 | | 23 May–2 June |
| NBA – Championships – NBA Finals (Eastern first round) | 2021 | | 23 May–2 June |
| NBA – Championships – NBA Finals (Eastern first round) | 2021 | | 23 May–2 June |
| NBA – Championships – NBA Finals (Eastern first round) | 2021 | | 22 May–1 June |
| NHL – Championships – Stanley Cup finals (First round) | 2021 | | 20–31 May |
| UCI World Tour – Giro d'Italia – General standings | 2021 | | 8–30 May |
| Euroleague – Results | 2021 | | 30 May |
Past events
