These two are similar in that their purposes address Christian considerations. In Everyman, he must make his way through errors and temptations to find God's forgiveness and salvation. In Dulcitius, the martyrs who meet death through Dulcitius's actions are comforted by God's forgiveness and salvation.
The most obvious similarity between these two works is the use of allegory. Allegory, of course, is the use of character and place names to represent their actual qualities. Everyman, obviously, represents all men, all people. Agape is the Greek word for "love," a quality she clearly embodies in Dulcitius.