Here are all of the Teachers and other people that work or have worked at Hogwarts.

Alastor "Mad-eye" Moody - He is an Auror. He has Many Enemies. Taught at hogwars as the Defense Against Dark Arts teacher. He was stuck in his own box by Crouch JR. All through Harry's 4th year. Crouch Jr. was using the Polyjuice Potion and taking Moody's spot as teacher.

Apollyon Pringle - Caretaker when Molly and Arther were at school. 

Argus Filch - He is the caretaker at Hogwarts. He's a squib, Hates kids, and has a cat named Ms.Norris.

Dolores Jane Umbridge - Has a toad like face. Works as Senior Under Secretary to Minister Fudge. New Defense Against Dark Arts

Gilderoy Lockhart - Taught Defense Against the Dark Arts in Harry's 2nd year. He Did memory Charm on Ron and Harry with Ron's wand and it backfires. Now he's in St. Mungo's Hospital.

Godic Grffindor - One of the four founders of Hogwarts. Gryffindor House is named after him.

Helga Hufflepuff - One of the Four founders of Hogwarts. Hufflepuff House is named after her.

Inda Pince - Hogwart's Librarian.

Madam Hooch - Quidditch Instructor.

Minerva McGonagall-  Said to be 70 yrs old. Head of Gryffindor.

Ogg - Gamekeeper before Hagrid.

Poppi Pomfrey - Hogwart's School Nurse.

Professor Binns - He is the History of Magic Teacher. He is also the only Ghost teacher. He died one night in his sleep and woke up the next day as a ghost and continued teaching. Hermione asked him about the Chamber of Secrets and that is the only time the class was hanging on his every word.

Professor Flitwick - He is the Charms teacher. Has to stand on Books just to see over his desk. He is Head of Ravenclaw.

Professor Kettleburn - Was Care of Magical Creatures Teacher. Retired to spend more time with his remaining limbs.

Professor Quarrell - He taught Defense Against Dark Arts class in Harry's 1st year. He let Voldemort share his body. Voldemort lived off Unicone blood which Quarrell drank for him. He tried to kill Harry but couldn't bare his touch so he ended up dieing.

Professor Sinistra - Teaches Astronomy.

Professor Sprout -  Head of Hufflepuff. She is the Herbology teacher.

Professor Vector - Arithmancy Witch

Remus J. Lupin - Was the Defense Against Dark Arts teacher. He is a werewolf. Friends with Sirius, James, and Peter at school. Still friends with Sirius.

Rowena Ravenclaw - One of the Four founders of Hogwarts. House named after her.

Rubus Hagrid -  He is half giant. He is Keeper of the keys and grounds at Hogwarts. Twice as tall and 5 times wider then a normal man. He now teaches Care of Magical Creatures class. He is the one that came for Harry on his 11th Birthday. He also goes on a hunt for giants to join their side in the 5th book. He ends up bringing his half brother Grawp back.

Salazer Slytherin - One of the four founders of Hogwarts. Created the Chamber of Secrets. Slytherin House named after him.

Severus Snape- Potions Teacher. Hates Harry. Head of Slythern House. Used to be a Death Eater.

Sibyll Trelawney - She is the Divination Teacher. Likes predicting deaths, Harry's especially.

Wilhelmian Grubbly Plank - Takes over Hagrid's job when he is sick or gone.