It could be Jumbo, which is a maritime company.
Click for website.
The Red Elephant Foundation is an organisation that promotes peacebuilding. It uses a red elephant for a logo.
Click for website.
The Republican party of the United States of America use a red elephant (bizarrely enough).
Mammoet, which is a logistics company, uses a red mammoth, not an elephant (though often mistaken for an elephant - sometimes the logo appears grey in some places rather than red, leading people to mistake it for an elephant).
Red Dog Beer..
logo dog red
One brand that has a red dog as a logo is Red Dog Beer. The type of dog on the logo is a bulldog.
Red dog
cliford the big red dog
Naughty dog
Red dog
A logo that had a red back round is...LEGO
what logo has a red f and j
Target has a logo that a red target in the middle.
June
what logo has yellow petals with a red centre
Nando's has a black and red chicken logo.