Status and prospects of measurements of exclusive and diffractive processes with the ATLAS detector

Fiducial and differential cross-sections are presented for the exclusive production of pairs of leptons and $W$ bosons, measured across a range of centre-of-mass energies by the ATLAS Collaboration at the LHC. All measurements are compatible with Standard Model predictions. A measurement of the dijet production cross-section is presented differentially in variables which distinguish between diffractive and non-diffractive scattering. The first analysis utilising the new AFP detectors at ATLAS is detailed.