see also Opportunities (that’s mainly for students & interns, though).
Serious funders:
European Research Council
This webpage is admittedly hard to navigate, so to spare the pain here’s the direct link to Horizon2020 and in particular to the forthcoming Marie-Curie actions H2020-MSCA-IF-2020 (call opens 08/04/2020, grant submission deadline 09/09/2020)
The starting grants are a little easier to find.
NERC
The Natural Environment Research Council (NERC) offers grants fundamental research for scientists in the UK
Royal Society
The Royal Soceity offers Leverhulme Trust fellowships