1. The River Eden: The River Eden flows northwards through the counties of Cumbria and Durham before reaching the North Sea at the Solway Firth.
2. The River Tyne: The River Tyne is formed by the confluence of the North Tyne and South Tyne rivers in Northumberland and flows northwards to the North Sea.
3. The River Tees: The River Tees rises in the Pennines in County Durham and flows northwards to the North Sea.
These rivers are exceptions to the general rule that most significant rivers in England flow from north to south, reflecting the overall topography of the country.