The European Researcher's Mobility Portal
Through this portal, you can search for grants, fellowships, or positions available throughout Europe, either by country or by organization. You can also post your CV and find practical information (accommodation, childcare and schools, health care...) for each country.
Égide is a non-profit organization that manages French government international mobility programs. Many funding opportunities are listed under “International mobility program” and “calls for proposal.” Most content is available in English.