4-5 point 4-3 approach
The 4-5 point is now played as opening move in a corner noticeably less often than in classical go, from the Edo period up to the introduction of komi. This basic position still frequently arises, though, after the 3-4 point high approach, when tenuki is played. Therefore the corresponding joseki are often applied.
The most common answer to is the inside contact variation, and the keima variation at b is also frequently used; the former aims to take up position on the left side, and the latter takes the key point for central influence.
Extending directly to e, without playing out the corner, has been seen in pro games from the past ten years, when the left side is urgent. This is a candidate for a new joseki.
The downward thrust f isn't joseki.
erikpan: Is there any advice on joseki involving a 'pincer-esque' move like g above?
Discussion of the downward thrust at 4-5 point, 4-3 approach, thrust
Dave As this is not joseki, i.e. not a generally accepted sequence (see joseki or more thoughts about joseki for guidence on what joseki are). It is more appropriately posted on Big Question Mark for discussion of why it is not joseki. Calling it a joseki may be misleading.