Good news ! Until now, there were two options to access to the high quality Sentinel-2 L2A products obtained from MAJA processor :
If you were unlucky, you could download MAJA processor and directly process your data sets on your computer. But it required some computer skills.
Starting from today, there is another possibility: the French collaborative ground segment PEPS allows on demand processing with MAJA. As PEPS is a global mirror, it means that you can process any Sentinel-2 product. The only restriction is that it has to be a single tile scene (acquired after December 2016, or recently reprocessed).
Update: we have also added a script to submit the processing and download the products with a command line interface and no click: https://github.com/olivierhagolle/maja_peps
More info here: http://www.cesbio.ups-tlse.fr/multitemp/?p=14335
Left L2A products from Theia, Right, L2A products from PEPS. Reflectances and Cloud mask are nearly identical.