The most recent incarnation of Spider-Man will be brought to life on the big screen by means of Captain America: Civil War. Spider-Man, played by Tom Holland will make his first appearance in the MCU. This is an all new take on Spider-Man that comes from a grounded comic-book history; all the iconic aspects of Spider-Man/Peter Parker have been integrated into the MCU's version of Spider-Man. It was only recently that the first glimpse of Spider-Man was released in the medium of a trailer for the upcoming Captain America: Civil War. Marvel is definitely intending to cement a place in the MCU for Peter Parker's Spider-Man so it's not likely he'll get bumped back to Sony's list of failed Marvel properties. Though Spider-Man finding a place in the MCU doesn't mean it isn't plausible for Spider-Man to appear in another MCU event or one of the many popular Netflix series being released. One Netflix series in particular would be a perfect fit for Spider-Man, and would definitely bring a new element to the series.
Spider-Man will be appearing in the MCU's next film Captain America: Civil War, then is slated for his own solo film in either 2018 or 2019 so that leaves a span of 3 years for Spider-Man to make appearances in other Marvel films or series'. A good fit for Spider-Man would be for Daredevil to make a place for him. Yes it is a huge stray in terms of tone in character between Daredevil and Spider-Man but both characters have had long comic-book runs wherein they teamed together, which wouldn't be a stretch for Spider-man to jump into Hell's Kitchen. Matt Murdock may have a hard time adjusting to Spider-man in his backyard, but he could surely use the help fighting crime in the city; Matt Murdock is blind after all. Aside from theories, Spider-Man could be introduced to Daredevil in the context of Peter Parker just having his Uncle Ben die, is forced by his Aunt May to move with her to Hell's Kitchen where she believes it will be much safer for Peter; that would introduce Peter Parker to Hell's Kitchen and the devil that defends the weak in it.
There's also the potential for Spider-man to appear in several other Netflix series as well. Luke Cage and Iron Fist are the next Marvel episodic series to premiere, and the titular characters of both series have allied with Spider-man in crucial comic-book events so it's not wrong to presume that Spider-man existing alongside either Iron Fist or Luke Cage is out of the realm of possibility. Spider-man could even hop from series to series, making various appearances alongside Luke Cage, Jessica Jones, Daredevil, Iron Fist, and even Agents of S.H.I.E.L.D. The character of Spider-man fits into the context of almost every Marvel conflict, he's not found in every universal Marvel conflict but Spider-man's involvement in any conflict can be substantiated with the belief that Spider-man could have a reason to be around when the conflict is happening simply because Spider-man's history has sent him across the world, through time and different dimensions thus meaning Spider-man appearing anywhere in particular is probable without that probability being too far-fetched. Fans would agree that series based on Spider-man have seen major success and interest from fans of all ages despite the series in reference are those animated series directed towards children.
There have been multiple animated series centering on Spider-man, which most have been met with average rating and review but a few series of note may prove that Spider-man best fits on a televised series rather than cinematic full features. The animated Spider-man series of 1994 was a huge hit with children when the series premiered. Not only were children intrigued by the series but fans of Marvel comics became quite invested in the kids television program as well. The show was captivating as it went through every aspect loyal to Peter Parker/Spider-man's origins. The series continued for four years, and in those four years, the adventures of Spider-man amassed Spider-man facing almost every one of his personal adversaries, going through the Secret Wars event, and finally ending the series with the Spider-Verse being introduced. The success of a children's television program is nothing of note but the fact that fans were so captivated by Spider-man for the first time on a television series proves that Spider-man would be better off on a episodic series similar to that of Daredevil, Luke Cage, or Jessica Jones. The possibility of seeing Spider-man take on one of his infamous adversaries every week would make for good story telling, along with a teen-age Peter Parker dealing with the hectic schedule of balancing high school and a career as a crime fighter would definitely get fans tuning in every week to see what Peter Parker is going to do next.
Spider-man makes his first debut for the MCU in Captain America: Civil War. Captain America: Civil War releases May 6, 2016