- Manchester United manager Alex Ferguson described Baxter as "arguably the best player to play in Scottish football.".
- Won 34 caps for Scotland and scored three goals.
- Signed for Sunderland in 1965 where he spent two years, making 67 appearances and scoring 10 goals.
- Signed for Rangers in 1960 where he spent five years, making 136 appearances and scoring 18 goals.
- Most famously, during Scotland's 3-2 win over England in 1967, he taunted his opponents by playing "keepie uppie" during the game.
- Signed for Nottingham Forest in 1967 where he spent two years, making 48 appearances and scoring three goals.
- Like some other British football stars of the late 20th century, Baxter drank to excess.
- Signed for Raith Rovers in 1957 where he spent three years, making 62 appearances and scoring 3 goals.
- Re-signed for Rangers in 1969 where he spent one season before retiring.
- Scored both of Scotland's goals in a 2-1 win over England in 1963.
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