The first sac gives tons of practical chances because there are so many variations and move orders -- sure some are unsound, but I think this is one of those cases where preparation carries the day. It's not so unsound though if the best black can do is draw right?
I've defended similar sacs as in the 2nd diagram. King goes to g8 and is safe.
This is an alekhine opening sacrifice, really good for blitz if you ever run into it :D
The next diagram shows a c3 sicilian system piece sacrifice
Amazing as it is that black is cramped and white gets near equal material by taking the rook via f7 with the knight, my engine fritz declares this as winning -2 for black is winning here!!!