The synthesis of novel neutral rare‐gas‐containing molecules of type HXY, where × = Xe or Kr and Y is an electronegative atom or fragment, is discussed. The molecules are characterised experimentally by their vibrational spectra and computationally by extensive ab initio calculations. They are formed in low‐temperature rare‐gas solids from neutral reagents and their bonding consists of both covalent and ionic contributions. Our recent studies add to the previously known class of rare‐gas chemical bonds in neutral ground‐state molecules the new bonds Xe–H, Xe–I, Xe–Br, Xe–S, Kr–H, Kr–C, and Kr–Cl.