You can buy some topical corticosteroids "over-the-counter" without a prescription. For example, for dermatitis, you can buy the steroid cream called hydrocortisone 1% from your pharmacy. Do not apply this to your face unless your doctor has told you to do so. This is because it may trigger a skin condition affecting the face ( acne or rosacea. ) Long-term use may also damage the skin. On your face this would be more noticeable than the rest of your body. So usually only weak steroids are used on the face. Those which are suitable are prescription-only.
These eye drops and ointments contain a combination of a steroid and one or more types of antibiotic for treatment of infection and inflammation of the eye. The steroid reduces inflammation while the antibiotic treats or prevents infection which may be the cause of the infection. Examples of steroids that are used in these eye drops are hydrocortisone, loteprednol, prednisolone, and dexamethasone . Examples of antibiotics used in these formulations include tobramycin, neomycin, bacitracin, polymixin B, and gentamycin. These antibiotics have different mechanisms of action and two or three may be combined in one formulation.
You are exactly right in your thinking. Different drops are used to dilate eyes. Tropicamide (mydriacyl) is the most common drop and it comes in two strengths, % and %. The % will not last quite as long but it is not a large difference. Tropicamide will dilate the eyes and interfere with near focusing. Phenylephrine is often added as a second drop with mydriacyl to enhance the dilation. Phenylephrine enlarges and hastens the dilation but has no effect on focusing and usually does not prolong the dilation. Paremyd is another drop containing % hydroxyamphetamine and % tropicamide. It does not dilate the eyes as well but tends to last a shorter time period and not interfere with near focusing as much. Longer lasting drops include cyclopentolate and homatropine. They have a longer mode of action and exert significantly more interference with close vision. They are usually used for children.