I am working on a package that contains a Source, about 80 lookups and 1 destination.
The data in the source table is not consistent enough and hence my package fail
You can create a second OLE DB Destination and direct the red arrow from your Data Conversion task to this destination. Then choose Configure Error Output in your Data Conversion task and choose Redirect row as an option for all Errors/Truncations. Finish the new destination mapping and you're done: data that is correct should now go to your first destination (green arrow) and incorrect data should go to your second destination (red arrow).