Nope

Emergency 3?

Nope.

Zettai Zetsumei Toshi 4: Summer Memories which has been cancelled?

That would be the one.

Now be honest here, did you use Google image search to find it?

I actually did not, the HP meter showed it was a kind of action adventure/RPG and I know of only two or three games/series with a disaster theme.
Disaster: Day of Crisis on the Wii and Disaster Report on the Playstation.
I think there might have been one more, but I can't think of it right now.. perhaps I was thinking of I Am Alive.

The Faery Tale Adventure

Interesting way of deducing it. I'd have expected the compass to be the clue.

Correct.

Hmm the compass.. well I usually only use the HUD to check if I have the correct game.

Here's another one.

I that some game mode within Encarta 95?

I dunno... is it?

OK apparently the trivia game in Encarta was called 'MindMaze' - is that the answer you seek?

OK I checked shots and it totally is - new challenge!
ignore this if it somehow isn't mindmaze but I'll be shocked!

Wonderland