What is the best quality system or production system for chemistry? and why?

i will answer you about why quality system is important and needed ??it is needed to have good quality product , in a good and safe work environment without any accident and with the minim level of pollution.

what is the purpose of your Quality System? and what is your production line? you might be looking for product conformity , CE mark , GMP, GLP - ISO17025, excellence award ...etc.
my advice is to start with ISO9001 and build up for any quality system you need ISO9001 is the baseline for other quality system

i think that the best quality system for chemistry is ISO9001 as per this system contain the minimum requirements for chemistry