I posted these before, involve air sharing as a result of something other than "running out of air." They're short enough to repost here to save you the trouble of linking.
Incident 1:
I was diving at Pt. Lobos, CA with my Assistant Instructor. We were at about 40 FSW, 15 minutes into our dive. Louis, after signaling me, took off in pursuit of a large eagle ray, I was along side of him, about 2 feet back. He suddenly stopped, spat out his regulator and pointed to his mouth (signaling me to buddy-breathe). I gave him my regulator and we settled into a two-breath-each rhythm while maintaining our neutral buoyancy. We were under a very dense kelp canopy and had to buddy-breathe while traveling about 100 yards to a point where we could surface. We did so without further incident, surfaced, returned to our surf mats and to shore. Later examination of his regulator second stage showed that he had bitten off a tab from his mouthpiece and it had lodged in the regulator behind the actuating lever in such a fashion as to cut off his air supply. After some experimentation I found that in this circumstance, if I attempted to depress the purge button I could feel it stick and that if I sharply stuck the second stage it would then function.
Incident 2 (link goes to the entire story):
Frank, Ken and I descended into fifty feet of water over the rocky canyons off San Jose Creek. It was Ling Cod city. I shot three. I just stacked them up on my spear. Ken tapped me on the shoulder and slashed his hand across his throat. He pointed to Frank, pointed to me and banged his fists together. He pointed to himself and raised his thumb. I gave him an okay. Ken started up and I went after Frank.
Frank was the only UC diver I knew (not Berkeley might I add, but Santa Barbara) who was not a great buddy, but he was a faculty member and a strong swimmer. We were at about fifty feet, he was out ahead and I was having trouble gaining on him. Over the next few minutes he managed to stay about twenty feet in front of me, just at the limit of visibility. As I almost caught him and I feel a tap on my shoulder. There's Ken, snorkel in place, pointing to his mouth. I gave him my regulator. Two breaths, I took two, Ken took two. Ken's hand began to gyrate, I recognized the motions from the previous day.
To review ... were at fifty feet, we're buddy breathing, Ken has an empty tank. I've got a spear with three dead Lings on it. Frank's again disappearing at the limit of visibility. There is a shark in the area. I review my options and choke back an initial impulse to give Ken my spear with the dead fish, my tank, make a free ascent and tread air back to shore. Ken and I continue to buddy breathe. I give Ken the spear with the bloody fish, point to myself and then in the direction Frank had gone and bang my fists together. I point at Ken and raise my thumb. Ken nods, flashes the okay and starts up. I go after Frank.
Incident 3 (not really OOA, but we had to share air anyway):
I was diving with three recently authorized research divers at a location where there is a large permanent gill net that all divers had been instructed to stay well clear of. We were diving as two separate buddy pairs. My buddy and I had completed our dive and were returning to shore on the surface when one member of the other team surfaced alone, near the net. I asked him were his buddy was and he said he did not know, that was why he surfaced. I looked around for bubbles and saw some coming up not far away. I told my buddy and the other diver to follow me and dove down on the bubbles. I found the "missing" diver tangled in the net, struggling to get free. She had gotten into the net as she surfaced since the current had bowed the top of the net over her. She had first taken out her knife to cut herself free but had dropped it, and it was now out of reach on the bottom. She had then tried to take off her tank and had somehow managed to wind her intermediate pressure hose around her neck and was now badly fouled in the net. I signaled the two divers with me to buddy-up and stay clear. I approached the fouled diver, got her attention, and had her shift from her regulator to my octopus. I helped her to complete the removal of her tank and we surfaced together, leaving her tank in the net. After settling her down, my buddy and I submerged and recovered her tank from the net and her knife from the bottom.