That above ^

and the classic UFO test.

http://testufo.com/#test=framerates

People can notice 60fps and 120fps even easier.

People can also notice a 120hz monitor vs 144hz....

Wow, if that's 60 FPS, I wonder what PC-gods experience when they have 60+ fps

Nice set of tests, that shows the difference very clearly. Yet you can also see that it all depends on scroll speed. Actually the default 960 pixels/second is still too fast for 60 fps (I don't have a 120fps monitor so it doesn't show that state) Also the moving picture test is hard to follow at 60fps. The best would be to have the frame rate high enough that the picture only moves 1 pixel per step, no skipping.
There must also be a difference between video and this test, as even at 120 pixels/second text is not scrolling smooth at 30fps. Yet end titles from movies at 24fps don't seem to jump like the text example does. (And yes I have 24p mode on both tv and projector)

Anyway as I said before, 60fps is more important in fast moving side scrollers like Sonic and Raymand legends. It matters a lot less for 3D games where you turn and look. You don't pan the screen, just as you don't rotate you head with your eyes fixed forward in real life. Also in sim racers you focus on the point where you are going which moves slow enough not to matter between 30fps and 60fps. Well maybe in twitchy karts, F1 cars and Red Bull X1.

After that set of tests showing how crap LCD is, maybe it's time to hook up that old 120hz CRT monitor again.

For me both a rock solid framerate and good image quality are important.

60fps is really nice, I'd prefer if every games could achieve it with crisp image quality. But I don't mind if they have to settle for 30fps, as long as it is locked.

Might be your monitor. If you go from the 60 FPS to 30, it'll make you feel dizzy. 

If you can't see an obvious difference, you're either blind or don't understand what you're even supposed to be looking for.

If people can't tell what difference they're supposed to be looking at, then there isn't much of a difference. I can see a slight difference, nothing major and certainly not something that is massively obvious without the 2 visuals next to each other.

60fps doesn't give games that cinematic feel ™

We need more frames. Gif generally makes more of a difference than actually it is on gameplay. At least a video of 10-15sec is better indication than a gif.

Third person I think 30fps is the way to go :P. Hack and slash games or GOW type 60fps can probably help the player more I guess. Some genre like fighting, racing sim I think both gfx at 1080P and 60fps can be achieved

That's pretty much as clear as day to me and exactly why I dislike 30fps in general, it feels and looks very laggy to me.