does not exclude non-competition based physical activities from the definition of sport, to quote: "a game, competition, or activity needing physical effort and skill that is played or done according to rules, for enjoyment and/or as a job: ". Definitions might differ from dictionary to dictionary and language to language
Your definition of games assumes an opponent (ex: Rubik's Cube would not fit), so I think it is not ideal.
Overall I think we could just stick to existing definitions and just accept that some competitions are "subjective" (ex: gymnastics, etc.)
This requires a reference though. For example:
https://dictionary.cambridge.org/dictionary/english/sport
does not exclude non-competition based physical activities from the definition of sport, to quote: "a game, competition, or activity needing physical effort and skill that is played or done according to rules, for enjoyment and/or as a job: ". Definitions might differ from dictionary to dictionary and language to language
Your definition of games assumes an opponent (ex: Rubik's Cube would not fit), so I think it is not ideal.
Overall I think we could just stick to existing definitions and just accept that some competitions are "subjective" (ex: gymnastics, etc.)