Non-action Verbs

Verbs that do not describe actions are called non-action verbs (also known as stative verbs, state verbs, or non-continuous verbs). These verbs express emotions, mental states, wants, preferences, senses, perceptions, appearance, possession, and relationship. 
Non-action verbs are not used in Continuous Tenses. Most of these verbs are only (or mostly) used in Simple Tenses. 

For instance:
Mary loves pizza. (NOT Mary is loving pizza)
John has a car. (NOT John is having a car)

Here is a list of common non-action verbs:

EMOTIONS, FEELINGS	MENTAL STATES	WANTS, PREFERENCE	SENSES, PERCEPTION	APPEARANCE, EXISTENCE, MEASURAMENT, VALUE	POSSESSION, RELATIONSHIP
admire	agree	desire	deserve	appear	belong
adore	assume	hope	feel	be	come from (origin)
appreciatte	astonish	need	hear	consist of	contain
care	believe	prefer	impress	cost	have
detest	concern	want	involve	equal	lack
dislike	consider	wish	notice	fit	own
doubt	deny		observe	include	possess
envy	disagree		perceive	look (seem)
fear	disbelieve		see	matter
hate	estimate		smell	measure (be long)
like	expect		sound	owe
love	feel (believe)		taste	represent
miss	find (believe)			resemble
regret	forget			seem
respect	guess			signify
trust	hesitate			weigh
	hope
	imagine
	know
	mean
	mind
	please
	presume
	promise
	realize
	recognize
	remember
	see (understand)
	suppose
	surprise
	suspect
	think (believe)
	understand
	wonder

BE CAREFUL: Some verbs are non-action and action verbs!

Verb	Type	Example
HAVE	non-action	He has a car. (possession)
	action	I’m having breakfast. (activity)
THINK	non-action	I think you should go home. (opinion)
	action	I’m thinking of changing my car. (consider)
SEE	non-action	I see the bird. (see with your eyes) I see what you mean. (understand)
	action	I’m seeing Mary later. (appointment) I’ve been seeing John for 1 year. (have a relationship with)
SMELL	non-action	This flower smells really good. (scent)
	action	I was smelling that flower. (activity)
LOOK	non-action	John looks tired. (appearance)
	action	Mary was looking at John. (activity)
TASTE	non-action	This beer tastes delicious. (sense)
	action	She is tasting the beer. (activity)
BE	non-action	You are really cool. (personality)
	action	You are being cool. (behaving)
FEEL	non-action	She feels someone touching her shoulder. (sensation)
	action	I am feeling fine OR I feel fine. (emotional state)

P.S. Nowadays, people will use both the Continuous tense or Simple tense to express emotions. Although the purists believe that emotions should be expressed in the simple tense only, there is a popular movement to express emotions in the progressive tense. E.g. "I'm lovin' it" (Mc Donalds)