The game is fun and enjoyable, but it's also very broken. When I say broken, I don't mean 'it's unplayable'. There are many many small problems that on their own don't matter all that much, but combined can mar your enjoyment of the experience, to name but a few:
• The usual culprits of AI, pop growth and planet management need some refinement
• Some empires will struggle with Food and Consumer goods by the mid game, so these empires quickly fall behind when these resources maluses cause productivity and stability problems.
• Gestalt empires that have rebellions form as 'despicable neutral' with no ethics, civics, or even name to their empire - they are just blank. Also true of the Great Khan empire.
• The UI for pop resettlement is still hard to grapple with, where you need to memorise the jobs and pop numbers of the planets you're transferring to/from to avoid ruined buildings / instability.
• Crisis AI is still easy to rush and make a non-issue of.
• Since Bureacrats were introduced, technology and unity production don't scale with empire size, which makes ballooning and conquest the only successful strategy.
• The edict change is a neat idea, but definitely needs work to improve, as unlike before, it's very easy to aquire and maintain 600+ influence throughout the game.
• Factions and the welfare of pops are largely a non-issue and you can pretty much ignore what they want, which thoroughly undermines the ethics system (one of the more unique features of Stellaris)
• Many strategies used by players are deactivated for AI's, such as various planetary decisions (Ecumenopolis, Resort Worlds, Terraforming).
• Fleets get stuck going back and forth between systems
• All AI's use Selective bombardment, even genocidal empires.
There are others, but these are some of the most common ones I've encountered. The last update was a vast improvement over 2.2-2.5, but I feel there's still a long way to go before it feels like a polished, brilliant experience.
EDIT: So my recommendation to the OP, if you can play knowing it's still an unfinished and janky game, it's fun, but if you're expecting the finished and polished Stellaris experience, you might need to wait a little more.