Return top Items based on the sum of associated values,but do not include blank cells

Please try at F1 Press Ctrl+Shift+Enter and copy down

Formula:

=IFERROR(INDEX($B$2:$B$11,MATCH(AGGREGATE(14,6,IF($B$2:$B$11<>"",IF(FREQUENCY(SUMIF($B$2:$B$11,$B$2:$B$11,$C$2:$C$11),SUMIF($B$2:$B$11,$B$2:$B$11,$C$2:$C$11)),SUMIF($B$2:$B$11,$B$2:$B$11,$C$2:$C$11))),E2),SUMIF($B$2:$B$11,$B$2:$B$11,$C$2:$C$11),)),"")