I have done the Sunshine Tour from Tokyo Station to Hakone / Mt. Fuji at least three times. Pretty sure that you can pick different routes depending on who you ride with.
One of them included Hakone Peace Park, another included some lake, another included a rope tram. I am hazy in the details because I kind of want to forget. Each trip was for the expressed purpose of seeing Mt. Fuji - never got to see it.
Snow, torrential rain storms, wind storm so strong.
Tour buses are great - I just remember the tour guides really working hard to make the trip interesting because Mt. Fuji was a bust.
I am not saying this sarcastically, they really did a good job on the tour - too bad the weather really sucked.