I remember writing obits and services fell into a couple of categories: funeral with church service followed by graveside service, church service with full Catholic ceremonies (rosary, viewing, mash, graveside) and celebration of life usually at a place where everyone could drink.
When I've gone to Mexican funerals, it's usually in a church or chapel. People carry pictures of the deceased. Usually someone's tia is wailing a little too loudly. When I went to my student's funeral, people had shirts made with her picture and some message about her resting in peace. White funerals were more traditional and composed (not that expressing loud emotions are wrong, just how I've seen them).
It also depends how well families are getting along when someone dies. My wife's grandpa died not that long ago (two years ago, maybe). We never did anything for him with my wife's side of the family. After her grandma pashed, MIL and her siblings could not be in the same room. They did the funeral niceties, but nothing after that. So when grandpa died, MIL had him cremated and brought the ashes to Tahoe. She told the family where a commemorative bench is and said they could visit when they wanted, but she did her own service. I feel bad it happened that way. My wife and I love that side of the family, but her mom has real and perceived slights that will not be mended.
That was one weird funeral, I have another.
My student's funeral I feel like the parents were in such shock, they didn't know what to do so they did everything. Viewing, people eulogizing, even a native blessing. Of course the dad and his friends were about to start a full rumble with some others outside the chapel until the girl's mom and aunts came out to tell dad they were about to close the casket.