The only other save would be the thing you personally do not consider saving.
Naruto was walking towards that stadium completely defeated. He clearly was head low and feeling like he was about to get pimp slapped. Hinata then told Naruto how she thinks he's strong with her proud failure and then he was back to the Number One Knucklehead Ninja we know.
Had she not "saved" him from his craptacular outlook...Neji would have roflstomped....
So she saved him once emotionally and once literally.
As for him showing no appreciation...
1. Part I Naruto is denser than part II Naruto....so he doesn't have intelligence to help.
2. No time. After his fight, Hinata's having heart problems....Konoha gets invaded. Following the fighting, Naruto is in the hospital and Hinata is probably in the Hyuga compound on forced rest. Following that Naruto chases down Sasuke to the valley of the end...and then part I ended.
So he really didn't have any time. And to have randomly thanked her at a point during part II would make no sense until then....because the only other time would've been the Search for Sasuke, but they had to focus on Sasuke.