using ROMLister, here's a list of the 2way or 4way, vertical, 2button or less games. I pulled out the clones, so you'll want to put a few of them back in (ie, pacman not puckman)
This was off of MAME 0.122, so your results may vary.
There are also issues with 4way diagonal (qbert) that you'll need to deal with too.
http://www.waste.org/~winkles/ROMLister/PuckMan (Japan set 1, Probably Bootleg)
Crush Roller (Kural Samno)
Pac-Man Plus
Eyes (Digitrex Techstar)
Ms. Pac-Man
Ali Baba and 40 Thieves
Pengo (set 1 rev c)
Jr. Pac-Man
Galaxian (Namco set 1)
UniWar S
Defend the Terra Attack on the Red UFO
Zig Zag (Galaxian hardware, set 1)
Moon Cresta (Nichibutsu)
Check Man
Black Hole
King & Balloon (US)
The End
Devil Fish
Cavelon
Armored Car (set 1)
Speed Coin (prototype)
Tazz-Mania (set 1)
Anteater
Video Hustler
Frogger
Amidar
Crazy Kong (set 1)
Mahjong Satsujin Jiken (Japan 881017)
Telephone Mahjong (Japan 890111)
Phoenix (Amstar)
Pleiads (Tehkan)
Naughty Boy
Tank Battalion
Warp & Warp
Jungler
Loco-Motion
Commando (Sega)
Galaga (Namco rev. B)
Dig Dug (rev 2)
Super Pac-Man
Mappy (US)
Dig Dug II (New Ver.)
Assault
Cosmic Guerilla
Cosmic Alien
Space Panic (version E)
Magical Spot
Devil Zone
Cheeky Mouse
Lady Bug
Mr. Do!
Mr. Do's Castle (set 1)
Space Launcher
Radar Scope
Donkey Kong (US set 1)
Donkey Kong Junior (US)
Donkey Kong 3 (US)
Space Invaders / Space Invaders M
Space Invaders Part II (Taito)
Invader's Revenge
Galaxy Wars (Universal set 1)
Lunar Rescue
Lupin III
Balloon Bomber
Yosaku To Donbei (set 1)
Quasar
Solar Fox (upright)
Satan's Hollow (set 1)
Oli-Boo-Chu
Q*bert (US set 1)
Faster, Harder, More Challenging Q*bert (prototype)
Q*bert's Qubes
Qix (set 1)
The Electric Yo-Yo (set 1)
Alpine Ski (set 1)
Grand Champion
VS Gong Fight
Super Qix (set 1)
Joust 2 - Survival of the Fittest (set 1)
Space Attack (upright set 1)
Invinco / Head On 2
Tranquillizer Gun
Carnival (upright)
Digger
Pulsar
Alpha Fighter / Head On
Astro Blaster (version 3)
005
Monster Bash
Congo Bongo
Up'n Down (315-5030)
Lock'n'Chase
Burger Time (Data East set 1)
Burnin' Rubber
Astro Fighter (set 1)
Tomahawk 777 (Revision 5)
Karate Champ (US)
Fire Trap (US)
Pooyan
Pandora's Palace
Roc'n Rope
Circus Charlie (Selectable level set 1)
Kicker
Satan of Saturn (set 1)
Nibbler (set 1)
Joyful Road (Japan)
Zzyzzyxx (set 1)
Round-Up
The Pit
Bagman
Super Bagman
Battle Cruiser M-12
Moguchan
Gals Panic (Unprotected)
Speak & Rescue
Looping (set 1)
New York! New York!
Spiders (set 1)
Space Firebird (Nintendo)
Enigma II