how about Marvel vs Capcom, then? Triple jumps, characters flying through the air like pinballs, multiple fighters at the same time...?
there are no random elements in marvel vs capcom and as far as i checked it's a 1 vs 1 game
1 on 1 means that 2 fighters and only 2 fighters fight at the same time and not stuff like having a tag team or something,i guess you could count strikers and tag assist as having multiple fighters since you can still punch them in the face before they pull out their attack but that's really forcing the definition
and true,marvel vs capcom character have a lot of mobility and air time,but they don't have the same absurd amount of mobility and air time a smash bros character have which move like a character in a kirby game which is why they made a whole mode that plays like a sidescroller,nor they risk bouncing on a wall,or catching on fire or fall trough a pit,which is the whole point of "the stage is flat" rule
just to reinforce that "randomness is more important in smash than punching" think what they added in brawl,they added a special move that's given to a random player at a random time,if the point of the game was fighting why not make the special move based on how much you punch people?