That C64 game was titled "The Great Giana Sisters". A quote about the game:
The Great Giana Sisters was the game that was too good to be sold. Shortly after its release, it was withdrawn from the shops due to legal problems - it resembled Super Mario Brothers so much that Nintendo was threatening a lawsuit. Those who were fortunate enough to buy it got the best platform game ever on the C64.
This game has all the cute characters, jolly music, secret warps, hidden rooms, concealed treasures and great playabilty that one can expect from a game of this type. You can spend ages playing this game, only to discover that what you thought was a perfectly ordinary stone yields half a dozen crystals when you headbutt it. Furthermore, the music in the intro by Chris Hülsbeck is among the best tunes ever composed on the C64.
No words can do justice to how fun this game is to play. It really had me glued to the joystick for months when it first appeared, and even today I still find it great fun.
You can download the game from:
http://www.d.kth.se/~d95-hsv/c64/gianasis.zip
It isn't illegal to do so, the game isn't being sold anymore..
Dante: I used to own an Amstrad too. 6128. My fav games on it were: Head over heals, strange loop, Jetset willy, auf weinstein monty, and about 10000000 others.. hehe
Also owned an atari 400 with the touch keyboard, back in hmm 1985 or 86?. Atari 2600's werent cool enough for me, I NEEDED THE COMPUTER VERSION

also owned original PSX as well, jap model, 5000 or so? The only version you couldnt chip to play 'everything', it could only play jap ntsc titles, which was ok by me. I only owned jap (boot block) NTSC games.. For me, console, NTSC beats PAL (but as I said, FOR ME.. No need to start a war here. We all know the NTSC VS PAL fights. heh)
GAMES GAMES GAMES...
Some (bad) stories about playing games. While still on the dole few years back, a friend and I would play 'little big adventure/relentless'. Basically we would do this: I would play my saved game for 12 hrs while steve would hang out, watch me play, watch tv, go grocery shopping etc. I would get tired. Save my game. Go to sleep, he would load up his game and I would sleep wake up, hang out, shower, watch tv, watch him play until he went to sleep and we would start back at me playing my game etc. We kept doing this until we both totally 1000000% finished every section/room/area in the game and finished it about 5-10 times over. The noise of twinsen getting hit if he ran into a building or got shot was SOOOOO LIFE LIKE it would make us go crazy. Steve smashed his chair because of that noise (another time though for that story).
Another game to completely enthrall me was 'TRANSPORT TYCOON'. Released in like 93 or something. I literally spent a month with my doona in the lounge room of my flat, I would play the game, eat, shower , shop etc while the game was still going. I would even go to sleep playing it (you can set up to build up while not being in front of it) and then wake up and keep going to where I left it. Needless to say, after a month, I had wasted my body away and had to get sun and visit the human world again. Friends would come over and see me lying on my doona playing the game.. What a month for gaming. heh
I was too dedicated as a gamer for ages.eheh
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He who laughs last thinks slowest."
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All warfare is based on deception. - Sun Tzu