Oliver Reed vs Joaquin Phoenix

1 shared category

• 2001 Best Actor in a Supporting Role · 54th BAFTA Film Awards
  both lost to Benicio del Toro

Named on the same nomination

Ballot lines that credit both of them — the same nomination, not competing entries.

• 2001 Cast in a Motion Picture · Gladiator · 7th SAG Awards

Nominated for the same title

Both nominated in connection with these, on separate ballot lines.

• Gladiator Oliver Reed Best Actor in a Supporting Role
  Joaquin Phoenix Best Actor in a Supporting Role, Best Supporting Actor, Best Supporting Actor – Motion Picture, Male Actor in a Supporting Role