I am looking for an open database, obligatory an up-to-dated one, which includes all discovered stars and their parameters.
As @ProfRob already stated, there is no single star database with all parameters. Here are some resources:
- SIMBAD Astronomical Database
- GAIA Archive "providing astrometry, photometry, and spectroscopy of more than 1000 million stars in the Milky Way."
A helpful and extensive collection of online resources is collected as community wiki answer to the question Where can I find the positions of the planets, stars, moons, artificial satellites, etc. and visualize them?