I hope this analogy is painfully obvious. But I will spell it out anyway. I get really bored but generally try to stick to the same industry and employer in order to get to FI because it's the most efficient way. But maybe I should be job hopping and switching industries and moving to different states and countries because why not? I'm an accountant but I think it would be interesting to be an HVAC person, psychologist, teacher, carpenter. To live in Brazil, France, Mexico, etc. What do you guys think? Is this an accurate analogy and does it point to my conclusion?
No comment on the video game analogy, but I would like to comment on the spelt out version. There's nothing inherently wrong with job-hopping, but I'm not convinced career-hopping (as your description is more aptly termed) brings greater happiness (unless it results in a major step up in the social hierarchy). A career doesn't necessarily need to be boring. It can remain relatively fresh, as you get more experience, more skilled, and attain greater responsibility. A new job within the same career can be great in that you are using your learned skills in new ways and learning something new at the same time (and perhaps traveling to new places to employ your skills if that's a desire).
On the other hand, I know of very few people who have successfully career-hopped. MMM might be a good example, but he fell into the professional blogger profession after he was FI. But it should be noted that he had acquired financial skills and writing skills well before he entered the latter career, so there wasn't much of a learning curve. (His other-other career, the house business he started immediately after quitting his job, did not turn out very well as he describes it and lasted two houses (his construction projects since then are probably more hobby-ish than career-ish).) The career changes you describe require a significant investment of learning to even break into the entry level, let alone to become proficient. Meanwhile you will be using very little of the skills you have already mastered as an accountant. The only reasons for which I'd advise on a career change prior to FI would be (1) a significant increase in earnings potential, prestige, etc., or (2) if you do not like your current career so much that it would be worth delaying FI by at least a decade.
TL;DR: Job-hopping: potentially good. Career-hopping: not recommended unless you have significant skills in that area to begin with.