I want to travel most of the country of Europe. But I don't know about any Travel Agency in France, United Kingdom, Germany, Italy and other Country in Europe.
It is possible to travel travel with one pivoted agency which provide all facility for traveling to Europe and United kingdom.
There is rather a lot of Europe and it may be better done in stages. It is not cheap though. What kind of budget are you allowing for?
There are various companies in the UK, and online which do trips. Years ago I first did Greece, Italy, and some eastern European countries in tours. You could try THE MAIL ON SUNDAY which has a big travel section. Online companies like archersdirect are good but there is a big supplement if you travel on your own.
It is not hard to do it yourself. A cheap flight somewhere central and use it as a base for days out, then move on to another central location in another area or country and do the same.
Southern Europe may be better left for September onwards when the countries are not so hot and the rest of Europe is cooling down.
However you are now coming into the school holidays when prices go up and up, rooms get and transport get booked up and there are crowds everywhere. Not the best time to travel.
Yes there are a lot that could offer you that. But getting a travel agency to plan everything for you would be really costly. If you have the budget, then why not? But if you're having a tight one, try researching about those places and the best deals you can get from them.