When I was about 9 or 10, I downloaded Final Fantasy Tactics: War of the Lions on my PSP.
I got the original FFT as a Christmas present when I was 12.
I FEEL OLD NOW.
Making me feel ancient. I was in college when the original FFT came out :(
On warming up to new titles, it's varied for me quite a bit. But overall reflects a change forced by shifting play schedules.
Back in school when I had much more time to play I could dive into it, one game at a time and finish. I only bailed rarely, on those games that had really pushed my away by about 10 hours (and they had to really turn me off, I'd play through things I was relatively neutral on; more time to play games than money to buy them so I was hesitant to just drop them).
These days however, between 60+ hours of work per week and being constantly on-call/weekend plans for two kids under 3 I need something I can drop in and out from very quickly and doesn't play on the TV (need an offscreen of some sort, wife-imposed restriction).
A game that gets good 10 hours in doesn't work so well if it takes me 2 weeks to play 5 hours, so it needs to hook me early on or I'll replace it. I don't have time to slog through an unpleasant experience. I also need to be able to drop it quickly and pick it back up a week later without being too lost.
For example, I've been playing Mass Effect 3 on the WiiU (offscreen) whenever I know I'll have an hour or more of time available. I started in mid October, and I'm now about 25 hours into the game. At this rate those 100+ hour games quickly lose their appeal. I'd rather have a very polished 20-30 hour experience since it takes me months to get through just that.
For those times when I have 15-30 min to play I typically play on the Vita, as those games are more designed for that time scale; usually something light (Indies, a level in Dragon Crown, etc..) or something I've played before like FFT. Here I really value the game being constructed to play in small snippets, and most large scale RPGs lose their flow when played in 15 min segments a day or two apart so I'll quickly lose interest.
I guess to warm up to a game (and stay warm) I need a game that not only grabs me quickly, but also can hold my attention for the time scale I'm playing it at, allow me to drop in and out quickly, not feel like it's wasting my time and get me back into the flow when I come back after up to a week or two away; otherwise I'm likely to move on to something else.