We study interactions of unparticles $\mathcal{U}$ of dimension ${d}_{\mathcal{U}}$ due to Georgi with standard model (SM) fields through effective operators. The unparticles describe the low energy physics of a nontrivial scale invariant sector. Since unparticles come from beyond the SM physics, it is plausible that they transform as a singlet under the SM gauge group. This helps tremendously in limiting possible interactions. We analyze interactions of scalar $\mathcal{U}$, vector ${\mathcal{U}}^{\ensuremath{\mu}}$, and spinor ${\mathcal{U}}^{s}$ unparticles with SM fields and derivatives up to dimension four. Using these operators, we discuss different features of producing unparticles at an ${e}^{+}{e}^{\ensuremath{-}}$ collider and other phenomenologies. It is possible to distinguish different unparticles produced at an ${e}^{+}{e}^{\ensuremath{-}}$ collider by looking at various distributions of production cross sections.