Has there ever been a 6–5 in the Premier League?

Yes, 9 times.

The first time: December 4, 1909, Liverpool beat Newcastle United (Liverpool 6–5 Newcastle United).

The last time: September 10, 1958, Chelsea beat Newcastle United (Chelsea 6–5 Newcastle United), 68 years ago.

Home wins: 7. Away wins: 2.

Nearby scores

1. 7–4 12 times
2. 7–5 4 times
3. 7–6 Never
4. 6–4 16 times
5. 6–5 9 times
6. 6–6 1 time
7. 5–4 65 times
8. 5–5 16 times

All games

1. September 10, 1958 Chelsea 6–5 Newcastle United
2. October 16, 1954 Chelsea 5–6 Manchester United
3. December 16, 1950 Derby County 6–5 Sunderland
4. March 24, 1934 West Bromwich Albion 6–5 Sunderland
5. January 2, 1933 Blackburn Rovers 6–5 Blackpool
6. April 30, 1932 West Bromwich Albion 5–6 Grimsby Town
7. December 6, 1930 Sunderland 6–5 Liverpool
8. December 25, 1925 Bury 6–5 Manchester City
9. December 4, 1909 Liverpool 6–5 Newcastle United