This topic is slightly different.
In the old topic that you linked to, I was asking about games that would be classified as RPGs, but which lack that particular element.
In this topic, I am asking about games (not necessarily RPGs!) that happen to share some elements usually associated (or that you associate) with the RPG genre, but which don't have character growth.
Gargoyle's Quest could be one example: It has an overworld, towns, random encounters, menus for talking to people in town, but the only growth it has is from plot events. Also, the battles play like 2d-platformer, and (unlike, say, games like Star Ocean) the dungeons are just 2d platforming levels (no overhead view or encounters in dungeons).
I could compare Gargoyle's Quest to Zelda 2, except that Zelda 2 actually *has* levels and experience points, making it inelegible for this topic.
(For the curious, Gargoyle's Quest 2 is similar to the original in this respect, except that there are no random encounters on the world map.)
Darvond: Well, I think there are a few games where your character's stats are entirely equipment based, but I can't recall their names.
Interestingly enough, SaGa 2 does this for one of the playable races (robot), and you can form a party of all robots if you want. (The manual advises against this, but as a child I was able to make it to the final boss with this party.)
SaGa Frontier also does this, but you can't avoid having non-robots in your party at some point, even if you play as T260 (Gen joins early in the game).