The ring around the stem
This family has a diagnostic character that almost nothing else shares, and once you have seen it you cannot stop seeing it. The leaves come in opposite pairs, and between the base of each pair sits a stipule, a small flap of tissue. In Rubiaceae those stipules meet and fuse across the stem from both sides, so instead of two flaps there is a continuous collar or ring encircling the stem at every node.
Botanists call them interpetiolar stipules, and they are the reason a member of this family can usually be placed from a leafy stem with no flower on it at all. In some genera the collar is a papery sheath, in others it is reduced to a fringe of bristles, but the ring is there.
Above it the flowers are built on a fused tube opening into four or five lobes, usually in tight clusters, and the ovary sits below the flower rather than inside it. That inferior ovary is why so many members of the family produce a berry, which matters more than it sounds: one of those berries is a coffee cherry.