Haha @ thekrohn's reply.

The 96 probably got progressively softer over time due to wear on bushings, etc. And it's probably true that the 7th generation Accord you just bought is tuned more for a balance of ride quality and handling, hence being a bit more firm.

Here on this forum, the majority of members are into increasing the handling of the Accords, and most are willing to have a more firm ride in order to have quicker responding suspension with less body roll and better dampening (by replacing the springs, shocks, anti-sway bars etc with more sporty components). So to the majority of the members the Accord you just bought would feel too soft rather than too firm.

My dad is 68 years old, and he drives a big fat lincoln that handles like a maytag, but he likes the soft ride haha.

Maybe give it some time and see if you end up liking the increasing handling of the new car and are willing to feel a few bumps for it.