There's no single definitive answer to which car company has the fewest recalls. The number of recalls varies year to year, and different agencies (like the NHTSA in the US) track recalls in slightly different ways. Also, a lower number of recalls doesn't necessarily mean a car is safer; a company might have fewer recalls simply because they produce fewer vehicles or have had fewer serious issues.
Instead of focusing on a single "best" company, it's more helpful to check the recall history of specific models you're interested in from sources like the NHTSA website (for US vehicles) or equivalent agencies in other countries. You can also consult independent automotive news and review sites that compile recall data.