Will my history degree be recognised?
You should have absolutely no problem with recognition of a history degree from a good university. If you are satisfied with the overall quality of the university and the reputation of its history department then it is unlikely that you will ever be at a disadvantage if you study history abroad.
All degrees within the European Union should be viewed equally although it is always a good idea to investigate the reputation of your chosen university.
Does it make sense to study history abroad?
Possibly not. If you study history abroad it is unlikely that you will be studying British history. If you are interested in the history of a different country then it might make sense to go there and study. However, if it is in a non-English speaking country your options will only be in the local language(s). There are currently no history degrees taught in English in Europe outside the United Kingdom and Ireland (except American universities in Europe).
If you have the necessary language skills then studying history abroad might be an excellent choice.
What else should I bear in mind?
Although there are very few degrees in Europe in history there are other courses that might be suitable for you. For example, if you are interested in American history you might want to look for degrees in American Studies that will include some history alongside other subjects.
Some universities offer degrees in “area studies”. This broad heading usually includes history, geography, politics, language and culture with reference to a particular country or region. Examples of such courses include International Studies at Leiden University (Netherlands) and various degrees at Sciences-Po in France.
American universities in Europe could offer you the chance to study history in English. However, they will not be focussed on British history so the curriculum is highly likely to be different from British universities.
Where should I look for history degrees abroad?
If you are determined to study a degree in history abroad then you are probably limited to Ireland, South Africa, Australia, New Zealand and North America unless you have language skills.