Egg Toss
Divide party guests into teams of two.  Have each team stand about 3 feet apart and on "go" they toss the egg to their partner.  Then each team steps back a foot and they toss the egg back to their partner.  Keep going - backing up one step each round - until there is only one team with an unbroken egg.   *  You can also play this during the summer with water balloons instead of eggs.

Angry Bird Egg Hunt
Kids search for hidden plastic "Angry Bird Eggs" . Let Cubs search and find the hidden eggs.   *For a twist you can hide eggs and have a few that contain red or yellow paper which the kids can turn in for a prize at the end. 

Capture the Egg
This game is played just like Capture the Flag - only the Cubs will try to capture the other teams eggs.  

You will need: 2 large red or yellow eggs - or use a red bandana and yellow bandana. 
Teams try to capture the other teams "egg" and return it to their home base.  Separate players into 2 teams. Determine boundaries and territory for each team - you can mark boundaries with yellow or red crepe paper or rope. 

Teams must decide where they want their eggs and jail to be located within their territory.  The eggs have to be in plain site and can not be moved.  Set up a safety zone around the eggs (a 5 - 10 foot circle).   The team guarding their eggs may not enter this circle unless the other team enters first. 

How to play: Teams send part of their players into “enemy territory” to capture the eggs. The players left behind will guard their own eggs. If a player is tagged by the opposite team they go to their jail. To get out of the jail they must be tagged by one of their teammates. 

After capturing the eggs the player with the eggs has to return to his territory - without being caught - to win. If they get caught and tagged with the eggs then the player tagged goes to jail and the eggs are returned.  

Variations: 
Spies and Lookouts  - When teams are deciding where their eggs will be spies can be sent out from the opposite team to see where the eggs are located - and look-outs can be sent out to catch the spies.