Beautiful what you have in your garden as having the roses bloom will let you enjoy the outdoors and its beauty.
As for climbing roses, some bloom only on second-year stems. It sounds as though from what you are writing that you are removing the stems before they reach blooming age.
As you live in a colder climate such as the UK, Better Homes & Gardens reports that you remove the climber during winter, cover in soil and then replant during the following season:
Other reasons and suggestions can be from not enough light to fertilizer as reported here: