Well now it feels like PDP might get a tier list. Found this on the Puppet play forums. Personally I only found about 2 or 3 puppets I had planned on using before seeing this.
"This is a list of puppets that seem really powerful, to the point where every team needs to dedicate their strategy to beating them, or which might have a very undesirable effect on the game by existing (Moody comes to mind). When/if stuff is being investigated, perhaps interesting to look here first. As moveset information is not fully available yet this should be taken as a tentative list, additional puppets are to be added and removed as more information becomes available and playtest data is gathered. In most cases, it seems that the 'ability' of the puppet is the thing that is most worrisome, there are a few really good ones.
Nimble
Nimble as an ability doubles a statistic. Doubling a statistic is the same as adding a whole lot of BST to your puppet, effectively 50 plus the value of the stat being doubled.
Power Sakuya
Nimble gives her effective 635 BST, but she can't carry items. She outspeeds almost anything, the exceptions being weather puppets, Yamame, and her own Speed variant, and has an excellent 135 base ATK (only 8 puppets have higher attack). Also has a good movepool, with several coverage options, and of course access to stat-enhancement to top it all off.
Power Yamame
Moody
Moody raises stats by +1 each turn. Since the stat being raised is random, it could be evasion. If it is evasion, Moody can cause a lot of trouble, becoming a truly unrivalled stalling ability. It is present on 5 puppets. Especially Suwako, Kokoro, and Komachi seem dangerous users.
Speed Suwako
Power Komachi
Defense Kokoro
Defense Kotohime
Assist Kosuzu
Up Tempo
The TPDP equivalent of Speed Boost, this ability instantly landed Blaziken into Ubers when added to it. Speed Boost was previously only attainable by the very fragile and otherwise quite useless Ninjask, which ended up being a popular lead anyway because of it. Anything with access to speed boost and especially also Backup Plan is automatically suspect. This ability is present on 6 puppets. Notice how 4 of these are power forms which have high damage output. These are dangerous in particular when they have access to attack boosts and/or backup plan:
Speed Miko
Power Rin
Power Kana
Power Cirno
Power Mystia
Assist Merlin
Boundary Blurrer / Power Mary
Present only on Power Mary, Boundary Blurrer doubles 4 statistics in all weather conditions, giving her a 675 effective BST in weather. If weather happens to be somewhat prevalent, Mary might be 'too good', her power is comparable to that of legends in Pokemon. Her Illusion typing gives her only 2 weaknesses, one of which is her own type.
Assist Satori
She is basically Wobbuffet. Assist Satori vs. Assist Satori will never end, and she can pretty much wall and lock a very high percentage of the puppets, generally getting a 2-1 trade.
Vanishing Act
If Evasion Clause is standardized, Vanishing Act might be criticized as well. Note that it is only present on four puppets, none of which are actually defensive by nature.
Power Remilia
Speed Remilia
Power Wriggle
Assist Wriggle
Divine Protection
Divine Protection is another interesting ability with a lot of potential. Many stat-boosting moves exist that also lower another stat because they would be unfair otherwise. This ability also synergises with Moody.There is only one user.
Speed Sanae
High Stats
While stats are less variable than they are in pokemon, the puppets do vary in stat total from about 450 (barring a few exceptions with abilities to counteract it) to 600.
Shinki
Both Power and Speed Shinki have a BST of 600, which is the third highest in the game. (Two puppets have a BST of 630, but they have a crippling ability that will probably prevent them from ever seeing much play in either case.). Furthermore, All-Weather and Dark Clothing are both interesting abilities.
Fast and powerful
Puppets have a rather unique combination of very high speed and very high attack. Most other puppets with 120+ attack are slow. Depending on the movesets available, they might cause overcentralization. A comparable pokemon would be Garchomp.
Speed Tojiko
Speed Gengetsu
Speed Yorihime"