What procedure(s) could be done for this sort of eye asymmetry? (Photos)

You have significant right upper eyelid ptosis. You need an evaluation by an Oculofacial Plastic Surgeon who is experienced with aesthetic surgery and associated expectations. Technically, your eyelid ptosis may be considered mild from a functional point of view. You do not need craniofacial surgery to improve your symmetry. You need ptosis surgery by a confident, experienced Oculofacial plastic surgeon.

You may benefit from Right upper eyelid ptosis and/or upper eyelid filler injection. Need more detailed evaluation to determine.

We've found most people find the asymmetry in the tarsal platform show (amount of eyelid seen) more cosmetically problematic than the asymmetry in the actually position of the eyelid.

Given there is no medical condition causing this, I would consider balancing the asymmetry in the tarsal platform show. This can be done with hyaluronic acid gel filler injections in the superior sulcus / sub-brow region.

The filler lasts around 1-2 years, and patients sometimes come by at 6 month intervals to see if they need a touch-up.

Fat grafting is a permanent option but it's less predictable, can leave permanent contour abnormalities/irregularities, and you may still end up needing filler.