Mammon (née Viper) from Katekyo Hitman Reborn! is a particularly... interesting example of this trope. S/he is, physically, a baby — somewhere around one or two years old — and carries around what looks like a roll of toilet paper, using illusions to turn the paper into what is a cross between this trope and Combat Tentacles.
Mukuro Rokudo, who, while not usually a practitioner of this trope, finally defeats Mammon by ''turning into a suspiciously tentacle-like black mass, forcing himself into her mouth, and making her explode. All while s/he screams for mercy.
Used in an episode of Weiß Kreuz when Mad Scientist Masafumi Takatori mutates into a be-tentacled ape-creature and uses his new appendages to restrain most of the rest of the characters in the room.
In Digimon Tamers Jeri is tied up by the tentacles of the D-Reaper. In the original she is tied in a cross shape. This was edited (badly) in the dub to be less religious looking.
Shinryaku! Ika Musume: In one instance, Ika does this to Eiko when she wanders into Eiko's room and falls asleep there.... Rather, her tentacles did this all on their own. Ika herself was already long asleep.
In Pokémon Special, during the finale of the RS arc, Winona ends up captured by Maxie and Archie, held by Archie's Tentacruel. She ends up nearly suffocating to death as well.
Various grass types' Vine Whip ability has been used as rope to pull other people up from cliffsides all throughout the entire anime.
Mawaru-Penguindrum features the three penguins, in the background, fighting three octopus to make takoyaki (fried octopus). Naturally, one of the octopus manages to hold two penguins up with its tentacles at one point.
Yu-Gi-Oh! ZEXAL's Black Mist has used his tentacles to restrain both Yuma and Astral on separate occasions.
Also, in Yu-Gi-Oh! 5Ds, this happened to Yusei in his first duel with Aki during the Fortune Cup, when she summoned her appropriately-named Rose Tentacles but it was worse than most examples; it combined the trope with Combat Tentacles restraining him with four of them so it could hit him with a fifth. (And it was dangerous business, seeing as Aki is a powerful Reality Warper who could not fully control her powers at the time, making the summoned monsters every bit as capable of actually injuring him as they can in a Shadow Duel.)
Aquaman is in the habit of using octopi to bind up his foes.
The Umbrella Academy has Benjamin Hargreeves AKA The Horror, who possessed tentacles coming out from his stomach. His generally sweet demeanor meant that there were no Naughty Tentacles, and not even any proper Combat Tentacles, instead he settled for grabbing and constricting his foes. Or more often than not, just using his tentacles as handy rope for pulling and holding onto things.
Freex, a series from Malibu Comics. One of the shy teens, a female, was just full of all long, fleshy tentacles. Fortunately they wrapped around her body so a loose T-shirt meant she could pass.
Galaxy of Fear: The vesuvague trees of Ithor will grab people and strangle them with their vines, crushing the life out of them unless an Ithorian intervenes.
In the Doctor Who episode The Pandorica Opens, a Cyberman's severed head attempts to grab Amy with some metal cables from its neck.
In Dino Attack RPG, tendrils of Maelstrom energy often act this way, wrapping around and forcibly constricting their victims.
In BIONICLE, the characters Kalmah and Nocturn both have Combat Tentacles, but they haven't really used them memorably for grabbing people. Kalmah did have, however, an army of gigantic squids who had done this to a mutated Brutaka. In earlier books, Gali also got assaulted by a giant squid, which later reappears in a Prequel story told by the village elders.
In Resident Evil 4, the flower-ish growth that devours and assimilates Salazar and his "left hand" does so by wrapping tentacles around them and pulling them into itself.
The boss Smorg in Paper Mario 2 is both this AND Combat Tentacles, being some weird tentacled creature that kidnaps pretty much all the passengers on the Excess Express in this way and attacking with its tentacles and whatnot.
Most of the creatures from the Pokémon series that learn Wrap, Bind, or Constrict, such as Tangela and Tentacool, are this way when they use those attacks, binding their foes in their tentacles. Needless to say, much illicit fan art has been made of this very concept.
Dead Space has these as a very annoying mini-boss to defeat. If Isaac doesn't shoot and defeat the tentacle that grabs onto him by the time he's pulled to the hole, it's instant death.
Although more of a Grappling-Hook Pistol than a Tentacle Rope in Prototype, the Whipfist power enables such a utility in order to latch onto distant objects, but does not in anyway tie them up. Similarly with the consume-tendrils that hold onto lesser organic beings, which take a moment to be assimilated.
In the sequel, Heller gets the "Tendril" power early into the game, which he uses as Combat Tentacles in addition to this.
In the Left 4 Dead series, the Smoker's main attack is doing this with his tongue.
In Halo 2, the Master Chief wakes up to find himself wrapped up in Gravemind's tentacle arms after it saves him from death. Then The Arbiter and Monitor 2401 are also brought into the mix.
The Lurking Horror has a very literal example. You climb down a rope and then realize that it's a tentacle.