Is this the pokemon themselves or their evolution families? There are only basic/baby pokemon on the list and Azurill is far from high.
Anyway, my suggestion:
- High tier
Psyduck available from Floccessy ranch, with a 10% chance to encounter it, the same as patrat and mareep, and higher than riolu and pidove. The reason I have him as a high tier, is that unlike azurill he is sp attack based, making surf more effective in-battle. It can also learn good coverage in the various psychic type attacks, and shadow claw, since ghost types aren't common. (And the ones that are aren't very useful with the exception of drifblim.) Psyduck also has very good stats for an early-on NFE pokemon. It learns water pulse as early on as 18 in this game, which is actually pretty powerful! An ideal set would be: Surf (an HM)
Psychic (good coverage)
Shadow claw (great coverage)
and then another move, possibly waterfall/dive for an extra HM, due to it's not too shabby attack.
Psyduck can also be an HM slave:
This is why I proclaim it to be high tier!