Flexible fluid connection systems are provided with misalignment management, vibration attenuation and compact packaging for a variety of applications. A fluid connection system includes a component that operates using a fluid. The component defines a surface and a passageway containing the fluid and opening through the surface. A fluid line is configured to convey the fluid relative to the component. A connector is made of a flexible material and is connected with the component and with the fluid line. The connector is positioned against the surface and has an end spaced away from the surface through which the fluid line is received.