The parts in square brackets are ...
... cryptic clues. The numbers are the enumerations, i.e. the length of the answers.
artist to burn, burns heart (6)
SINGER (artist) = SINGE (burns) + heart of (bu)R(ns)
bits of nazis covering animal (6)
SHARES (bits) = HARE (animal) in SS (Nazis) (not really sure here)
familiar comrades, abbreviated, with
same abbreviation the console (7)
FAMICOM (console) = "abbreviations" of FAMI(liar) COM(rades)
forest endless street, rearranged (5)
TREES (forest) = anagram of STREE(t)* without its end
Filling these in, we get:
English [singer] [shares] dollar with [Famicon] residing on [trees] (7)
I think this is another cryptc clue that leads to the final answer. If so, it sure has an awkward surface and I bet that Famicon means NES, which uses up three of the seven letters. There are short tree names (OAKS, ELMS), but if the def. is English singer, the dollar is unaccounted for.