While also inspired by Godzilla, I always thought Tyranitar more resembled Bemular.
As for a few other Ultraman inspirations:
Dorako/Scyther
Takkong/ Golem
And while not exactly the same, Electabuzz got a lot from Eleking
Embarrassingly, while I have the whole original Ultraman series on DVD, I haven't really committed the monsters to memory enough to have made these connections myself. I think you're right though; not only has Satoshi Tajiri mentioned growing up on Ultraman in his interview with Time magazine, but Pokemon emerging from Pokeballs is clearly based on the Capsule Kaijuu from Ultraseven. Hell, the original name for the series was Capmon (Capsule Monsters)!
Not sure if anyone will care about this but me, but it occurred to me a while ago that the Battle Clash series on the Super Nintendo was inspired by the works of Ryosuke Takahashi and Sunrise. On a general level, the post-apocalyptic setting is more in line with these than the militaries and politics of Gundam. The first design of the ST Falcon from Battle Clash is similar to the Scopedog from Votoms; a squat pot-bellied machine. The speed and inertia on your first-person camera makes it seem like it has a similar skating movement.
Then you have a new design in Metal Combat, which I think emphasizes the influence of the Dougram from the anime of the same name. More lean, tall body and a long shoulder-mounted cannon. The faceless rectangular isn't new but it's more in line with the Dougram than the rounded Scopedog head.
Additionally, an invincibility powerup you get in the games - which allows the ST Falcon to fly through space in the second game - is called the V-System. I suspect that it's inspired by the V-Max from Blue Comet Layzner, which also gives the ST Falcon its blue colour. In Metal Combat it plays a vaguely similar theme when you activate it.
#STFalconForSmash