I recently saw fragment of a German comedian (Hape Kerkeling) who made a number of pretty funny accents, and fake languages. Though full of grammatical mistakes, or just plain nonsense, he makes you feel liken you're hearing the actual language. I know of a Dutch 'equivalent' (not nearly as good, it was made with a different intention) given below,
Vlieg met me mee naar de regenboog
# "Official" fake Eurovision Songfestival trilingual intro.
# 1:00 - 1: 10 = mock Scandinavian (It all sounds the same to us )
# 1:10 - 1:21 = mock Hebrew (notice 'Jerusalem', 'Kibbutz' , 'Shalom' and 'Shawarma' and 'PLO' )
# 1:57 - 2:06 = mock French
# 2:06 - 2:12 = mock English (American English, to be exact)
# 2:12 - 2:18 = mock Italian
# 2:18 - 2:25 = mock German (complete with different tune )
# 4:30 - end = fake/mock Hebrew English accent.
But I wonder do you have more of these examples, or just give your personal strategy on how you would imitate/emulate certain languages.