DAYS Family Trees
The HORTONS
Tom Horton married Alice Grayson, and they had five children: Tommy and Addie(twins), Mickey, Bill, and Marie.
Tommy married Kitty, and they had a daughter, Sandy.
Addie married Ben Olson had they had two children, Julie and Steve.  Ben died, and Addie married Doug Williams, and they had Hope(who married Bo and they had Shawn-Douglas and Zac).  Hope was also married to Larry Welch for a short time, but she was forced into it and they divorced.
Julie had a son, David, fathered by David Martin(who was killed by his wife Susan).  Julie gave the baby up for adoption and married Scott Bannin(who adopted the baby) after his wife died.  They later divorced and Julie married Doug, and became a step-mother to Hope, her half-sister.  Julie's son, David Banning, married Trish Clayton, after she became pregnant with their son, Scotty.
Marie had an affair with Alex Marshall, and they had a dayghter, Jessica Blake.  Marie entered the convent.   Jessica later married Joshua Fallon. 
Mickey was sterile and never had any biological children.  He raised Micael as his own son, unaware that Bill had raped Laura(his wife), and fathered Micael.  While with Laura, Mickey had an affair with Linda Patterson, who had a daughter, Melissa, by another man.  Mickey later married Maggie Simmons, and they adopted Melissa.  For a while, they also had a foster child, Janice Barnes.  Maggie also had a surrogate chlid named Sarah(the sperm donor was at first thought to be Dr. even Whyland, but it was later discovered to be Dr. Neil Curtis).
Bill married Laura after she divorced Mickey, and they had a daughter, Jennifer Rose.  Micael had a son named Jeremy after an affair with robin Jacobs.  Jennifer(Jen) married Jack Devereaux and they had a daughter, Abigail(Abby).  Jack and Jen divorced, and she married Peter Blake, who she later divorced.  Jack and Jen later remarried and then separated.  Bill had another son, Lucas, because of an affair with Kate Roberts(he did not know he was Lucas's father until '94).
The BRADYS
Shawn and Caroline Brady  had two sons, Roman and Bo, and two daughters, Kayla and Kimberly.  They also took in two children, Frankie and Max, at one time.
Kimberly(Kim) married Shane Donovan, and they had two children, Andrew Shawn and Jeannie.
Kayla married Jack Devereaux, but they soon divorced.  She then married Steve "Patch" Johnson, and they had a daughter named Stephanie Kay.
Bo(whose actual father is Victor Kiriakis, the result of an affair between Caroline and Victor), married Hope Williams and they had a son whom they named Shawn Douglas(Shawn D.)  When Hope was thought to be dead, he married Billie Reed.  When Hope came back, he divorced Billie and remarried Hope, and together they had another son Isaac (Zac).  *** there was a baby switch and for the first year they had John Thomas(JT), but he went back to his real father and Zac was returned to Bo and Hope (Lexie and Abe had him).
Roman married Ann and they had a daughter, Caroline(Carrie).  They divorced and Anna married Tony DiMera.  Roman married Dr. Marlena Evens, and the had Eric and Samantha(Sami), twins.  They also later divorced.  Carrie married Austin Reed(Sami also was married to him at one time but that marrieage was annulled).  Sami had her son  William(Will) by Lucas Reed. 
The DI MERAS
Stefano DiMera was the head of the clan.  He had a son, Count Antony DiMera(Tony).  Tony married Liz Chandler, and later Anna Brady(Roman's ex).  He divorced both of them.
Stefano also had a daughter, Megan Hathaway(who was killed, accidentally, by Larry Welch). 
Stefano had another son, Benjy, who was deaf..
Stefano adopted two children, Kristen and Peter Blake.  Kristen married Tony, and later she sought an annulment, but Tony died anyway.  Peter married Jen Horton, but she divorced him.
Stefano also has another daughter, Alexandra(Lexie), by Celeste.  He did not know she was his until '95.  Lexie married Abraham Carver(Abe), and together they had Theo.
(graph courtesy of SOD)