Are there any notable hostage rescues in the sengoku period?
Whether you're thinking of the "Ieyasu held hostage by Imagawa" situation, or "bad guys kidnapped my family, call the SWAT, guns a'blazing rescue" like in Hollywood movies, the short answer is "probably no".
In the Ieyasu kind of case, you're not supposed to rescue the hostage. Hostages are "collateral" that are given up as tokens of sincerity between clans for some kind of deal to prevent or stop war. Either one clan is surrendering to the other, or two clans exchange hostages. If someone tries to snatch back the hostage, then the deal is off and war is back on. That would just completely defeat the purpose of sending a hostage in the first place.
The "hostage" is treated more like a guest, and not as a prisoner, so generally speaking there's nothing to worry about. Still, the only way this kind of hostage can be "rescued" is if someone managed to defeat the clan that's holding the people "hostage". Again with the Ieyasu example. With Yoshimoto dead at Okehazama, in simple terms, Ieyasu was "freed" to go back home (it's not actually this simple, but I'm not going to go into that here).
The closest thing you have to the "bad guys kidnapped my family" situation that is high profile is Masamune's father being snatched by a rival clan, the Nihonmatsu-Hatakeyama. The reason why this doesn't count is because he wasn't rescued. He got killed in the hubbub that ensued when the Date chased after them, and accounts of the why and how varies.
If there are other instances like this, I can't think of any off the top of my head.












