Beer-Related Items
Have each member of the scavenger hunt find five bottle caps, each from a different type of beer. Also have them find one completely intact beer bottle label. To make sure no one is taking the caps or labels from their own bottles, make a rule that states if you're drinking beer, you can only drink draft. Part of the fun of a scavenger hunt is meeting new people, which you can do while hunting for caps and labels.
Liquor-Related Items
Require your scavengers to collect a label from a liquor bottle. This may take some finesse on their part, as they will have to talk the bartender into removing the label from a bottle behind the bar or allowing them to scrape off their own from an already-empty bottle in the recycling bin. If your city laws allow bars to sell liquor in miniature bottles, have each scavenger collect miniature bottles of vodka, tequila and whiskey.
Glassware
Scavengers should be prepared to find different types of bar glassware. Most bars will not allow you to take their glasses outside of the bar, so ask the bartender before your try to pilfer. Agree ahead of time, if you're not allowed to sneak a shot glass outside, that it's OK to take a picture of each type of glass on the list. Many glasses may not be in view of the bar, as they are being chilled or in cabinets, so make the type of glassware being hunted more obscure. Look for snifters, champagne glasses and martini glasses.
Glass Accessories
While many bars are no-frills, they will almost always have coasters on hand to protect the surface of the bar itself. Have your scavengers collect five types of coasters with beer or liquor advertised on them -- this may require going to more than one bar. You can also try to collect frilly toothpicks or miniature umbrellas that are used in many mixed cocktails.