Many important Lie (super)algebras can be constructed using bosonic and fermionic oscillators. We introduce inhomogeneous supersymmetric bilinear forms on a complex superspace and show that they lead to oscillator-like superalgebras. We classify such forms for superspaces up to dimension 7 and mention a few examples of subalgebras obtained from the corresponding superalgebras. This talk is based on joint work with Bojko Bakalov.