The latest dumping - the second in Norfolk in 10 days - involves 31 greylag geese and follows 39 butchered pink-footed geese found on 7 December.
Dozens of butchered geese have been found dumped by the road in rural Norfolk for the second time in 10 days.
Thirty-one greylag geese - all with their breast removed and string around their neck - were discovered in Market Lane, Terrington St Clement on Monday.
Thirty-nine pink-footed geese and one pigeon were found in the same state on St Paul's Road in Wisbech, about seven miles away, on 7 December.
King's Lynn & West Norfolk Council said they appeared to have been shot and it wants anyone with information to get in touch.
"These birds have clearly been killed for their meat but there has been no oversight of their slaughter and no assurance that they have not experienced undue suffering," said councillor Sandra Squire.
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The councillor warned the meat could be unsafe as the birds may be diseased and the slaughtering done in unsanitary conditions.
"As a final insult, they have been dumped at the side of the road, which is also illegal as fly-tipping, may attract vermin and creates a health hazard," Ms Squire added.