For sapphires I like Lotus simply because I own and have been shown quite a few stones with their colour grading scale so I know what to expect in terms of colour by gauging from their report. This is especially true for blues of which I’ve bought a few recently.
I'm more familiar with labs in America than other regions, but based on over 20 years reading Pricescope, AGL American Gemological Lab in New York is the most reputable and trusted lab for all colored stones except diamonds.
For Fancy Colored Diamonds the most reputable and trusted lab is GIA Gemological Institute of America.
This is not a dig against the other reputable labs, but IMO in the FCD market, especially $$$$$$ ones, a report from GIA seems almost mandatory.