As anyone who has played No Man's Sky will know, reaching the galactic core is the main goal in the game. The so-called Core Worlds are also the most well-developed and prestigious planets in the Star Wars series.
But in real life, there exists the notion of the Galactic Habitable Zone, which states that only a small ring of the Milky Way Galaxy may in fact be hospitable to life as we know it, citing things like metallicty, radiation levels and supernova rates. One study actually disputed its existence, claiming that even with the higher rates of supernovae and bolide impacts, the chance of finding a habitable planet that could support life could be as much as 10x greater than in the outer galaxy simply due to the higher metallicity.
So, using the Milky Way Galaxy waypoint as a guide, I set out to find planets. And I found that apparently whoever designed Space Engine apparently looked into this research, because almost every time I would do a 10 ly radius search for stars in the galactic bulge (out to a distance of 5,000 ly from the center) I would almost always find at least one star with a planet that has life, and most of the time I'd find several, at least one of which has 2 or 3 planets with life. More than half of all star systems were also binaries, and many of them had a total number of planets in the double-digits.
Here are four interesting planets that I have discovered inside the core of the Milky Way galaxy. All of them have life except for #2:
1. A green desert planet located about 1,300 ly from the galactic center
2. An ocean moon with an ice cap
3. A planet very similiar to Earth but with rings and average temeprature of only 2C, that resides at about 4,000 ly away from the center of our galaxy
4. A "Frozen Titan" that by all metrics should not be habitable (it has a nitrogen atmosphere and a surface temperarture of only -187.1C!), yet it has "exotic multicellular" purple plant life.