Can anxiety give you a swaying motion type feeling heart feels like beating fast head funny eyes funny been to drs a lot they say not vertigo anxiety ?

Yes: Anxiety can cause any number of odd or strange feelings and increased heart rate. If you have not done so, you may need to see a psychiatrist for a proper diagnosis and treatment of the anxiety. Also, dizziness & vertigo can indicate a problem with the inner ear and that should be evaluated as well.

Of course: Anxiety symptoms are not a sign of illness, they are the mind's ability to produce the "flight or fight" response which gives rise to many physiological changes include nausea, sob, insomnia, dry mouth, aphasia, tremor and sweating. Depending on the cause of your anxiety symptoms, your health care provider can recommend appropriate treatment.