  We study the semisuper-Efimov effect, which is found for four identical
bosons with a resonant three-body interaction in 2D, in various systems. Based
on solutions of bound-state and renormalization-group equations, we first
demonstrate an emergence of the semisuper-Efimov effect in mass-imbalanced
bosons in 2D. Compared with the Efimov and the super-Efimov effects, the mass
ratio-dependent scaling parameter is unexpectedly found to take on a finite
value even for extremely mass-imbalanced situations, where the mass ratio is 0
or $\infty$. By a renormalization-group analysis, we also show that a weak
two-body interaction sustains the semisuper-Efimov effect. Finally, we liberate
the universality of the semisuper-Efimov effect from 2D by showing that bosons
with linear-dispersion relation support the semisuper-Efimov effect in 1D.
