Dog-like traits in cats include greeting the owners at the door when they come home, following them around the house, playing dog-like games like fetch, passion for water, and even an ability to learn some basic dog commands like to sit and to lie down. Here you will find a list of popular cat breeds that tend to show those types of behavior. However, please remember that every cat is individual, and their temperament can differ within the same breed. Besides, cats always remain cats with quite an independent personality even though they sometimes seem to act like dogs.
Photo by © brett-ross

Burmese

Origin: Burma, Thailand

Colours: brown, blue, lilac, red, chocolate, cream, brown tortie, blue tortie, chocolate tortie, lilac tortie
Size: Medium to large
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Vocal
Activity Level: Very high
Attention Requirement: High
Overall: Can be a handful

Burmese cats will want to participate in everything that is going on around.
Breed video: Burmese Cat Playing Fetch

Photo by © Sigga Vala

Bengal

Origin: United States
Colors: Many color variations with differently shaped spots
Size: Medium to large
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Quiet
Activity Level: Very high
Attention Requirement: High
Overall: Can be a handful

Bengals are lively, active, extremely intelligent and smart. Unlike other cats, they adore water!

Breed videos:
Bengal - very intelligent and adaptable
Perfoming Bengal


Photo by © Jessica Jarlsdotter

Ocicat

Origin: United States
Colors: Tawny, chocolate and cinnamon, their dilutes, blue, lavender and fawn; also all these colours with silver
Size: Medium to large
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Vocal
Activity Level: Very high
Attention Requirement: Average
Overall: Can be a handful

Breed video: Ocicat


Image credit: 2mnedolz

Siamese

Origin: Siam (Thailand)
Colors: Seal, chocolate, blue, lilac with the typical colourpoint pattern
Size: Medium
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Very vocal
Activity Level: Very high
Attention Requirement: High
Overall: Can be a handful

Breed video: Siamese - very vocal cat


Photo by © Alexandra Zakharova

Oriental Shorthair

Origin: Great Britain
Colors: Any
Size: Small to medium
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Very vocal
Activity Level: Very high
Attention Requirement: Very high
Overall: Can be a handful


Image credit: Cosmos59

Abyssinian

Origin: Egypt
Colors: Ruddy, cinnamon, red, blue and fawn
Size: Small to medium
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Quiet
Activity Level: Very high
Attention Requirement: High
Overall: Can be a handful

Breed video: Abyssinian - active cat for active family!


Photo by © The Speckled Ram Fibers

American Bobtail

Origin: United States
Colors: Any
Size: Medium to large
Coat Type(s): Shorthair and longhair
Grooming: Weekly (shorthair); twice a week (longhair)
Talkativeness: Average
Activity Level: High
Attention Requirement: Average
Overall: Moderately obedientKind, playful, devoted and extremely intelligent cat.


Photo by © Sandie J

Devon Rex

Origin: Great Britain
Colors: All
Size: Small to medium
Coat Type(s): Shorthair, curly haired
Grooming: Little
Talkativeness: Quiet
Activity Level: High
Attention Requirement: High
Overall: Moderately docile


Photo by © Bernadette

Tonkinese

Origin: USA
Colors: Natural, champagne, blue and platinum
Size: Medium
Coat Type(s): Shorthair
Grooming: Little
Talkativeness: Vocal
Activity Level: Very high
Attention Requirement: High
Overall: Moderately docile


Photo by Tambako The Jaguar

Turkish Van

Origin: Turkey
Colors: White with colour markings on head and tail
Size: Large
Coat Type(s): Longhair
Grooming: Regular
Talkativeness: Average
Activity Level: High
Attention Requirement: High
Overall: Moderately docile


Photo by © Jorie O'Brien

Sokoke

Origin: Kenya
Colors: Blotched tabby in shades of brown
Size: Medium
Coat Type(s): Shorthair
Grooming: Very little
Talkativeness: High
Activity Level: High
Attention Requirement: Average
Overall: Moderately docile


Photo source: Wikimedia

Javanese cat

Origin: Siam (Thailand)
Colors:
Red point, cream point, lynx (tabby) point, tortie point
Size: Small to medium
Coat Type(s): Longhair
Grooming: Every few weeks
Talkativeness: Very vocal
Activity Level: Very high
Attention Requirement: High
Overall: Can be a handful


Photo by © Christian Hunold

Chausie

Origin: France
Colors: Black, brown and silver
Size: Large
Coat Type(s): Shorthair
Grooming: Weekly
Talkativeness: Average
Activity Level: High
Attention Requirement: High
Overall: Can be a handful



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  I have a Maine Coon mix named Randy and he does a lot of those "dog" things - http://mysmelly.com/Archive/VerySmartCatProblem/cjkvx/post.htm