My favorites include:
Cole's on Milwaukee near California (Best bar in Chicago IMHO)
Helen's Two Way Lounge at Fullerton and Milwaukee
Archie's at, I think, Rockwell and Iowa
Bob Inn at Rockwell and Fullerton
Corner Bar at Levitt and some other street...
WeeGee's way west on Armitage
there is a no name bar at the corner of hubbard and ogden. never packed, mostly latino - the bartender didnt speak english when i checked it out. might be a hidden gem.
no place to really lock up tho
Weegees (work there on Fridays)
Bangers & Lace (if you go early to beat the crowd)