2004 alero my car was driving fine and i turned it offf to go into the store and when i tried to start it again it wouldnt do anything . when i turn the key it doesnt click or anything but the radio comes on and my dash lights come on .......any suggestions>????/help !!

this sounds messed up but do you live by any fields? i have many problems even in the cities with mice chewing up wire harnesses.. just a thought. my friend had a 2013 and she got to the doctors but wouldnt start after that. mice got to wire harness and it broke enough when she shut it off.

sound like theft security problem.when you try ten minutes did you leave ignition switch on position for ten minutes until the security light turn off then turn off ignition switch for 5 seconds then try starting vechicle.when you do 10 minute trick security light has to turn off or disappear when you see security light go off turn off switch 5 seconds then try starting vechicle.

Sounds like a battery. Battery probably has enough juice to make the dome lights work, but not enough juice to turn the starter. Have your battery checked out.

this is an anti theft problem because your battery went below 10 volts.try charging battery up to proper levels and reconnecting to vehicle should be fine.

turn key on, and let it set 10 minutes, try it again.

i belive that engine has a coail pack for each cylinder, check those, along with tthe crank sensior

It sounds like your fuel filter has gone it life time and now to dirty to permit the proper fuel flow if any.
Start with checking the fuel pressure at the shredder valve, you should have over 45 PSI i believe but could be wrong, can not remember could be 60 PSI. 
If you can not check the fuel pressure, change the fuel filter first then see if it starts. If it does not, then it may be a bad fuel pump and need to be replaced. The fuel pump is electric and have a life time too and it may be at it's end also.
Good luck and keep me posted.

I would check your fuel pump assymbly. I just had to replace mine. car was driving just fine, bang, died, crank but no start. i went to library and checked out haynes repair manual 1993 thru 2002 for camaro and firebird.

Try cleaning the throttle body. Possible idle air control valve problem.

Trac off simply means that your traction control system is turned off. This light generally comes on when your car is started for a while like many of the lights just to ensure everything is working. It does sound like you have some kind of problem developing but it's very unlikely that it has anything to do with the traction control system. Generally in mid-priced cars like the alero all traction control does is either stop power to the wheel slipping or apply gentle brake pressure to the tire that's slipping. Just get a diagnostic run would be my suggestion. You can turn the traction control off yourself if you want to understand it better, many car enthusiasts do so as it allows you to use sliding and traction loss to your advantage. Leaving traction control on does generally increase safety for your average driver, but makes it virtually impossible for an experienced driver to perform any of the stunts we often see in racing.