  We propose boundary obstructed topological phases caused by Wannier orbital
shift between ordinary atomic sites, which, however, cannot be indicated by
symmetry eigenvalues at high symmetry momenta (symmetry indicators) in bulk. On
the open boundary, Wannier charge centers can shift to different atoms from
those in bulk, leading to in-gap surface states, higher-order hinge states or
corner states. To demonstrate such orbital-shift-induced boundary obstructed
topological insulators, we predict eight material candidates, all of which were
overlooked in present topological databases. Metallic surface states, hinge
states, or corner states cover the large bulk energy gap (for example, more
than 1 eV in TlGaTe$_2$) at related boundary, which are ready for experimental
detection. Additionally, we find these materials are also fragile topological
insulators with hourglass like surface states.
