I'd use something similar to this, add each browser you want to check for to the where clauses...
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Select Top 1000000 tblComputers.ComputerName, tblComputers.ComputerUnique As Machine , tblSoftware.softwareName As Product,
tblComputers.Domain, tblComputers.Username
From tblSoftware
Inner Join tblComputers On tblSoftware.ComputerName = tblComputers.Computername
Inner Join web40ActiveComputers On tblComputers.Computername = web40ActiveComputers.Computername
--Inner Join tblRegistry On tblComputers.Computername = tblRegistry.Computername
Where
tblSoftware.softwareName Like '%Google Chrome%'
OR tblSoftware.softwareName Like '%Safari%'
OR tblSoftware.softwareName Like '%Mozilla%'
Group By tblComputers.ComputerUnique, tblComputers.ComputerName, tblSoftware.softwareName, tblComputers.Domain, tblComputers.Username
Order By tblSoftware.softwareName