Should carbon tetrachloride really be considered an organic compound? Wikipedia says:


  Carbon tetrachloride […]  is an organic compound with the chemical formula  $\ce{CCl4}$.


From an organic point of view, carbon tetrachloride can be called the tetrachloro derivative of methane and is described in many organic textbook along with $\ce{CH3Cl}$, $\ce{CH2Cl2}$ and $\ce{CHCl3}$.

From an inorganic point of view, carbon tetrachloride can be considered chloride of a group 14 element (along with $\ce{SiCl4}$, $\ce{GeCl4}$).

Shouldn’t carbon tetrachloride be considered an inorganic compound? It neither contains any $\ce{C-H}$ bond nor is it found in any living organism.

Tetrachloromethane is its organic name. But it is generally not called by this name. Carbon tetrachloride is its better name and inorganic compounds are named like that.
Simple carbon compounds such as the tetrachloride blur the boundary between organic and inorganic. You should know that presence in natural systems is not an indicator of a compound being organic; many organic compounds are completely artificial, though they may be derived from natural feedstocks.

There is no strict criteria for organicity (is there a better word?). Consider perfluorinated carboxylic acids, they have no C-H bonds but are considered organic.