Eight new rare-earth metal-lithium-germanides belonging to the [REGe2](n){RELi2Ge](m) homologous series have been synthesized and structurally characterized by single-crystal X-ray diffraction. The structures of the title compounds can be rationalized as linear intergrowths of imaginary RELi2Ge (MgAl2Cu structure type) and REGe2 (AlB2 structure type) slabs. The compounds with general formula RE7Li8Ge10 (RE = La-Nd, Sm), i.e., [REGe2](3)[RELi2Ge](4), crystallize in the orthorhombic space group Cmmm (No. 65) with a new structure type. Similarly, the compounds with general formula RE11Li12Ge16 (RE = Ce-Nd), i.e., [REGe2](5)[RELi2Ge](6), crystallize in the orthorhombic space group Immm (No. 71) also with its own structure type. Temperature-dependent DC magnetization measurements indicate Curie-Weiss paramagnetism in the high-temperature regime and hint at complex magnetic ordering at low temperatures. The measured effective moments are consistent with RE3+ ground states in all cases. The experimental results have been complemented by tight-binding linear muffin-tin orbital (TB-LMTO) electronic structure calculations.