I grew up with the monthly schedule Paul described, where the story of the Last Supper was read each time, to remember Christ's death in sobriety. But as time went on, I saw more about the event that gave more depth of meaning.
Jesus was eating a full meal with His friends. It was one of the Passover meals with some ritual, but they were reclining while eating, leaning on each other.
Jesus was not stuffy about sharing the bread and wine with humans. He even shared it with someone He knew would betray Him.
Jesus was confiding in them because He was concerned about how they would take the news and the changes. Jesus cared about His disciples as individuals, and He cares about each one of us now.
There is interesting research on how the Passover rituals compare with Christ's death...too much to go into in one post. But you might enjoy doing a search on it.
When the early Christians gathered for the Lord's supper, it was a meal. Compare that with the thin wafer and sip of wine at formal churches. No matter what approach a fellowship takes, people will still get something out of it, and remember that Jesus went through a lot for us to have salvation, and redemption from our sins.