In American English, “I need to show it to you” is heard more commonly than is “I need to show you it”, which in AE has the same meaning. In British English, some may say “I need to show it you” to mean “I need to show it to you”, but I doubt you'd ever hear “I need to show you it”, even if it is you that is going to be shown to it.
An AE-corpus ngrams for show you it,show it you,show it to you vs. a BE-corpus ngrams for the same phrases illustrates, as Peter Shor said in comments, that show it you is rarely used in AE. Its use peaked in the early 1800's. The form is becoming rare in BE; its use peaked in the early 1900's. Pages 101 and 102 of a reference mentioned by tchrist (American and British English Preferences by Salama and Ghali), shown in part below, list several verbs after which some BE speakers elide to but most AE speakers do not.