At the time of writing there is no official guidance that an MoT exemption in the UK is valid for driving overseas, so the requirements will vary depending on the local laws of the country you are travelling to. Countries such as France and Germany have similar rules regarding older vehicles, so it is recommended to look at the specific regulations for the country or countries you will be travelling in and to take your V5/C with you so that you can evidence the age of the vehicle.

For complete peace of mind we would suggest having an MoT carried out in the UK beforehand so you can provide evidence that the vehicle is roadworthy if required.