Most of the funerals I've been to have been Catholic. I'm in the US. Some of the traditions are Catholic, some are cultural, depending on whether the family is Irish or Italian or Hispanic, and some are probably regional.
The day before the funeral there are usually visiting hours at a funeral home. Most often there is an open casket, and people line up to say a prayer in front of it. Then they move on to a receiving line, which is mostly the immediate family. After going through the line, guests can either leave, or stay and chat with members of the family and other guests. Usually there are 2-6 hours of visitation. In the past, visitation would take place over two days, but that has changed to one day in recent years. Sometimes the family will have pictures of the deceased and the family displayed. People send flower arrangements and these are displayed around the casket and if there are too many, throughout the rooms.
The funeral is the next day. Prior to the funeral, family and close friends will gather at the funeral home. A few prayers will be said and perhaps a decade of the Rosary will be recited. Then everyone gets in their cars and drives to the church for the funeral. The casket is loaded into a hearse and leads the procession to the church. The immediate family usually rides in cars provided by the funeral home, so that no one has to worry about driving.
At the church, everyone but the family takes their seats and then the casket, now closed, is brought in and carried to the front of the church. The family follows and takes their seats, always up front, usually on the right side of the church.
Mass is said, with a eulogy instead of a homily and with special prayers over the deceased. In recent years, there has been a trend of family members and/or close friends getting up and saying a few words about the deceased.
After Mass, everyone returns to their cars and drives to the cemetery--very few churches have their own cemeteries anymore. The cars will all have their lights on, to indicate that they are following the hearse, and the funeral home usually puts a small flag or sign of some sort on the car to help indicate this as well. This helps the procession stay together, as sometimes you have to drive nearly an hour to the cemetery.
At the cemetery, there will be a few more prayers said and the casket is lowered into the ground. They don't cover it up with dirt until everyone has left. All the flowers from the funeral home are brought to the cemetery and placed around the grave, unless the family requests that something else be done with them.
Then everyone goes either to the home of a family member or to the church hall. Food and drink are served. Sometimes it is catered, sometimes it is done by a church group.
A variation of this is the military funeral, which is a regular funeral, but with a military honor guard, for people who have served in the Armed Forces. The honor guard escorts the casket into the church, and I think stands at the back of the church during the service. At the grave site, they may fire their guns in a salute. There is also a US flag draped over the casket and they remove it and fold it in a very specific manner and present it to a member of the family. They also have a bugler play Taps, which is the song played at the end of the day on military bases and is a traditional tune for a military funeral.