The part about Kushina becoming the Jinchuuriki was pretty interesting and how she moved to Konoha but apart from that I don't see the appeal behind it. Kushina gets kidnapped by presumably cloud Jonin but a 12 looking year old Minato swoops down from the sky and beats like 5 or 6 JONIN may I add and flies to the skies with Kushina in arms (Jesus, you might as well give the guy shining armour and a horse) and as we know Kushina fell in love. Now here's the other part I'm not too good on: How Kushina seemed to fall in love with him pretty instantly. Bear in mind these two had been shown to have no communication before the event whatsoever, Kushina's sudden change in heart in mind, didn't feel right to me. Also how Minato knew the exact moment in which he saw Kushina being taken by the cloud ninja. If he was up in the trees like last time, then that's not adorable, that's what they call premature stalking. (Don't take that joke too seriously)
Anyway I know this won't apply to that many people, but this is just my opinion anyway, I don't see the big appeal behind the pairing.
Minato wasnt stalking. The entire village was searching for them(so simply he started looking when the village did)
However he was the only one to notice the trail of red hair.(Minato since he was alone was able to move much quicker than the cloud ninjas with kushina and as such he was able to catch up)
Then you have the element of surprise(ninja A< ninja B, but ninja B> ninja A if a surprise attack)
The cloud ninjas were at the border, so they were not expecting to have anyone show up. They let their guard down, and minato took them out.
If minato had ftg then, it would make perfect sense as to how he took them out. Period though, he was praised as a genius. Sasuke and itachi and oro were all genius' , and they were chuunin-jonin level ninjas at a young age.(then they got further stronger with power ups)
The kushina falling in love with minato thing, was not a big deal. While we dont know what contact they may have had, there was nothing to suggest that kushina hated minato. Also the rescue was just the typical damsel in distress falling in love with their rescuer.
Seeing your classmate track you down and defeat several jonins just to save you, would make you like or love the guy who saved you(especially if hes all calm and cool about it.....just see the girls who love sasuke....calm and cool attracts in nv)
If you dont find the story appealing thats just fine. Different people like different things. The thing i see that most people find appealing, is how minato and kushina died. They find their deaths so sad.
The pairing is likeable, because kushina is nice and sweet, but is also hot tempered, and fiercesome, while minato is calm and cool(usually). Its the opposites attract thing. (also partly why people tend to favor naruhina, is because they are more opposite, while naruto and sakura, are more similar(tempered).