Peter doesn't try to strangle his children.

At least Homer can remember how many children he has and their names.

Homer actually loves his children. Something which I've never seen Peter Griffin do.

Need proof? Watch link.

so all of these are saying... the Simpson's characters are basicly better then all family guy!

according to our fanpop pickers!

Even with the stranglings.

i don't really like either of them to be honest

Peter Is Just Plain Funny.

I prefer Homer, who is a much better dad, he may forget Maggie a couple times, strangle Bart and ignore Lisa sometimes but he is overall much better.
He and Bart while they do have a strange relationship, Homer dose show genuine care for Bart and dose love him. He tries to be a good father as when he supported Bart when he is on the football team, and Homer started his brief job of taking a cannon ball to the stomach because he realized that Bart idolized him because of it. He even jumped Springfield Gorge to help Bart understand the stupidity of risking one's life for short-lived thrills and glory. He also spends time with Bart like when he became a truck driver or when they were arrested in Japan.
Homer is very protective of Lisa and shows a soft side to her. But when Homer disappoints her or makes her sad he will oftentimes go to the end of the earth to make things right. Homer also dose activities with Lisa which he doesn't enjoy simply to make her happy. They have little to talk about because of their differences in interests and intellectual caliber, so Homer prefers to do things with Bart and leave Lisa alone. But like with Bart he truly cares for her. Homer is also very proud of Lisa's intelligence and brags about it to friends and co-workers, Although he is often insensitive to her and her needs Homer does try to be a good father and puts her happiness above anything else, for example, when he was first told that she was gifted and that she should find a mental stimulation to help with her gift, he gave up the $200 dollars the family had saved for a new air conditioner to buy her her saxophone instead.
Homer while he forgets Maggie exists—frequently. Also, whenever Maggie is referred to by her full name, Margaret, Homer has no clue as to who is being referenced. When Homer does try to interact with Maggie, he oftentimes frightens her unintentionally.
Homer is highly irresponsible with Maggie, often giving her unsafe things to play with and once completely losing her because she crawled out of her crib. Maggie was an accident baby (as was Bart and Lisa) and having her meant that Homer had to quit his dream job at the bowling alley and instead take his job back at the nuclear power plant so that he'd make enough money to support a third child. This was not ideal for Homer because he had only recently quit from the power plant in a very rude and flamboyant fashion. When he returned, Smithers and Burns had a good gloat that he was crawling back and, to further depress him, installed a plaque dead center in front of his desk that read, "don't forget, you're here forever." Because of all this, Homer fiercely resented the prenatal Maggie, but, as soon as he first laid eyes on her, he immediately fell in love. There are no baby pictures of Maggie in the Simpson household because Homer hangs them "where he needs the most cheering up"-- at work. In his office, he has created a mural of Maggie's baby pictures which strategically cover up one half of the N and the entire T of don't, the GET of forget, the YOU'RE, the E of here, and the FOREVER on his plaque with pictures of Maggie, so that it reads "Do it for Her." It can be argued from this that Maggie cheers up Homer more than his other two children. Although they don't communicate well, Homer and Maggie share a special bond and he loves her deeply. (Sorry if it is long and most of it is from the Wikia I wanted to state these points.)