| Season | Team | Competition | MP | G | A | Rating | ||
|---|---|---|---|---|---|---|---|---|
| 2024/2025 | Partick Thistle | League Cup | 4 | 3 | 0 | 0 | 0 | – |
| 2024/2025 | Partick Thistle | Challenge Cup | 1 | 1 | 0 | 0 | 0 | – |
| 2024/2025 | Partick Thistle | Scottish Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2023/2024 | Partick Thistle | Scottish Cup | 3 | 1 | 0 | 0 | 0 | – |
| 2023/2024 | Partick Thistle | League Cup | 5 | 3 | 0 | 1 | 0 | – |
| 2023/2024 | Partick Thistle | Challenge Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2022/2023 | Partick Thistle | League Cup | 6 | 2 | 0 | 0 | 0 | – |
| 2022/2023 | Partick Thistle | Scottish Cup | 2 | 1 | 0 | 2 | 0 | – |
| 2021/2022 | Partick Thistle | Challenge Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2021/2022 | Partick Thistle | League Cup | 4 | 4 | 0 | 0 | 0 | – |
| 2021/2022 | Partick Thistle | Scottish Cup | 2 | 1 | 0 | 0 | 0 | – |
| 2020/2021 | Partick Thistle | League Cup | 3 | 0 | 0 | 1 | 1 | – |
| 2020/2021 | Partick Thistle | Scottish Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2019/2020 | Partick Thistle | Challenge Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2019/2020 | Ross County | League Cup | 4 | 2 | 0 | 0 | 0 | – |
| 2019/2020 | Ross County | Scottish Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2018/2019 | Ross County | Scottish Cup | 3 | 2 | 0 | 0 | 0 | – |
| 2018/2019 | Ross County | League Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2018/2019 | Ross County | Challenge Cup | 4 | 4 | 0 | 0 | 0 | – |
| 2018/2019 | Cheltenham Town | League Cup | 0 | 0 | 0 | 0 | 0 | – |
| 2017/2018 | Cheltenham Town | League Cup | 1 | 0 | 0 | 0 | 0 | 6.7 |
| 2017/2018 | Cheltenham Town | EFL Trophy | 2 | 1 | 0 | 1 | 0 | – |
| 2017/2018 | Cheltenham Town | FA Cup | 1 | 0 | 0 | 0 | 0 | – |
| 2017/2018 | Hibernian | League Cup | 2 | 1 | 0 | 0 | 0 | – |
| 2016/2017 | Hibernian | League Cup | 0 | 0 | 0 | 0 | 0 | – |
| 2016/2017 | Hibernian | Challenge Cup | 1 | 1 | 0 | 0 | 0 | – |
| 2016/2017 | Hibernian | Scottish Cup | 4 | 0 | 0 | 0 | 0 | – |
| 2016/2017 | Ross County | League Cup | 4 | 6 | 0 | 1 | 0 | – |
| 2015/2016 | Ross County | League Cup | 4 | 1 | 0 | 0 | 0 | – |
| 2015/2016 | Ross County | Scottish Cup | 4 | 4 | 0 | 0 | 0 | – |
| 2014/2015 | St. Johnstone | League Cup | 2 | 1 | 0 | 0 | 0 | – |
| 2014/2015 | St. Johnstone | Scottish Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2013/2014 | Dundee United | League Cup | 3 | 0 | 0 | 2 | 0 | – |
| 2013/2014 | Dundee United | Scottish Cup | 3 | 1 | 0 | 0 | 0 | – |
| 2012/2013 | Raith Rovers | Challenge Cup | 3 | 3 | 0 | 0 | 0 | – |
| 2012/2013 | Raith Rovers | Scottish Cup | 3 | 2 | 0 | 1 | 0 | – |
| 2012/2013 | Raith Rovers | League Cup | 3 | 4 | 0 | 0 | 0 | – |
| 2011/2012 | Raith Rovers | League Cup | 2 | 0 | 0 | 1 | 0 | – |
| 2011/2012 | Raith Rovers | Challenge Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2010/2011 | Greenock Morton | League Cup | 0 | 0 | 0 | 0 | 0 | – |
| 2010/2011 | Greenock Morton | Scottish Cup | 4 | 4 | 0 | 1 | 0 | – |
| 2009/2010 | Greenock Morton | League Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2009/2010 | Greenock Morton | Challenge Cup | 2 | 0 | 0 | 0 | 0 | – |
| 2009/2010 | Greenock Morton | Scottish Cup | 3 | 1 | 0 | 1 | 0 | – |
| 2008/2009 | East Stirlingshire | League Cup | 0 | 1 | 0 | 0 | 0 | – |
| 2008/2009 | East Stirlingshire | Scottish Cup | 1 | 2 | 0 | 0 | 0 | – |
| Total | 108 | 57 | 0 | 12 | 1 | – | ||
B. Graham career history shows progression across clubs and competitions, including club timeline, national team appearances and overall career totals.