The official Game Maker website has several tutorials that are worthwhile working through. 

http://www.yoyogames.com/make/tutorials

They include making a scrolling shooter, maze games, platform games, 3- dimensional games, and multiplayer games.

Book

There is an excellent book available which contains tutorials and resources for making 9 games: 

The Game Maker's Apprentice by Jacob Habgood and Mark Overmaars, ISBN 1-59050-615-3, www.apress.com

Links to other Game Maker sites and example games

Game Design Novice http://gamedesign.wikidot.com/gamemaker:game-maker covers most topics

Simon's Game Maker page has useful information about making your code more efficient and your games run faster http://gamemaker.simondonkers.com/index.php?mode=view&fileid=40&page=1

Game Maker Games http://gamemakergames.com/ has games, forums and links to other sites

Bouncing Fox Productions http://www2.bouncingfox.co.uk/ has a lot of example games

Pixl http://pixl.sitesled.com/ has Game Maker and pixel art creations and tutorials. 

Mattsoftware  http://www.mattsoftware.net/  has games, examples, scripts, models etc.

Sprite Art

Game Design Novice has some excellent sprite art tutorials http://gamedesign.wikidot.com/spriteart:tutorials

Toolkit Zone also has some good tutorials http://www.toolkitzone.com/library.php?search&user=157

Game Design Resources

ACMI (The Australian Centre for the Moving Image) has some excellent resources at http://www.acmi.net.au/explore_games_resources.htm

Step through guide for a game design http://www.acmi.net.au/joystick_competition_questions_guide.htm

Further Study & Careers

Further study you can do in Australia

Careers in the Games Industry in Australia