Tom Hardy's Venom origins
2018's development to the symbiote storyline is the revelation of Knull, the Symbiote God. Back during the 1990s Planet of the Symbiotes run, we were meant to believe that the symbiotes (actual alien name Klyntar, in case that’s important to you) rejected the Venom symbiote for wanting to bond with a single host, not dominate entire species. Knull reveals even more backstory, which is super complicated and involves dead Celestials and a first symbiote that was a sword. But the short version is that Knull created the Klyntar to be evil, then they decided they wanted to be good, but because they need to absorb hosts, if the symbiotes come in contact with an evil host, they can become corrupted. Venom himself is something like the 998th generation of Klyntar, and it turns out that Venom was supposed to be good, but then he got corrupted by his first host (not Eddie, but a Kree, one of the blue aliens with a major presence in Captain Marvel and Guardians of the Galaxy) fell in with corrupted Symbiotes who cast him out to die on a planet, that was Battleworld. Venom fights Knull and seemingly wins, and can maybe manifest big dragon-wings when he wants, because comics have to stay interesting somehow.
The two Venom series that Ruben Fleischer and Sony reportedly based the new Venom movie on are Venom: Lethal Protector and Venom: Planet of the Symbiotes, so these symbiotes are still aliens and Eddie is struggling with the alien to be good. That's been the Venom status quo for about half of the character's 40-year history: living somewhere in conflict between being a hero and allowing the alien monster (who is good/bad/good/bad depending on who you ask and when) from taking over.
Here we are at the end and after all that, the major takeaway is... Venom is an angry Spider-Man suit. Which is 100% true and also entirely incorrect for this modern incarnation. Since the movie doesn't have Tom Holland's new Spider-Man involved to pass off the white-chest spider and the ability to create organic webbing -- due to Business Deals -- we can only assume that the symbiote is keeping its pre-Spider-Man power load out of camouflage, increased strength, and healing capabilities (who knows if Eddie will need it to stop cancer, but the symbiote has occasionally passed on to others temporarily to protect or heal them).