[RPG] Can Polymorph end spells that require the target to be humanoid

No, the polymorphed creature can only use actions that a normal creature with the new form would be able to do. It comes directly from the definition of “game statistics”. The Statistics section of the The Monsters Manual starts with:

A monster's statistics, sometimes referred to as its stat block, provide the essential information that you need to run the monster.

The subsections include not only static numbers “Ability Scores” and “Speed” but also “Actions” meaning that RAW actions are also stats (and I cannot name a reason why it wouldn't be RAI as well). Under “Actions” it is written:

When a monster takes its action, it can choose from the options in the Actions section of its stat block or use one of the actions available to all creatures, such as the Dash or Hide action, as described in the Player's Handbook.

Thus the polymorphed character's actions are limited to those the creature would be able to do were it a normal creature.

As for the possible inconsistency with the concentration ("A Wizard can polymorph self, therefore polymorph doesn't break concentration. If concentration is a class feature and it survives polymorph, all other class features can be used too.") there are two choices here:

1. Concentration is not something everyone has automatically. E.g. if a creature would not be normally able to cast spells it cannot concentrate on them either. In this case there is no consistent RAW answer: "statistics" cover all the aspects of creature -> if the creature cannot concentrate, polymorph breaks concentration -> polymorph cannot be used at self, even though PHB clearly states that it was intended to be used this way. Also Sage Advice says that concentration is not broken by polymorph, so this is definitely not a path to go with.

   You can’t cast spells while you’re transformed by polymorph, but nothing in the spell prevents you from concentrating on a spell that you previously cast before being transformed.

2. Concentration is something everyone can do and/or let's use common sense. The point of the offensive use of Polymorph is to render a creature useless in battle, i.e. if a creature is turned into a sheep it is as harmless as one. If the class features were preserved we would have sheep going into rage (barbarian), teleporting (shadow monk) or... turning into dinosaurs (unless druids are considered to be shapechangers and thus are automatically saved) which is bizarre. Therefore, all the class/race features are gone. As for the possible inconsistency with concentration, it comes from a simple fact that designers cannot see all the connections between all the bits of the rules and sometimes we can only rely on how we think things are supposed to work.

The wording quoted in the question is from an earlier print of the PHB. In later printings, and in the SRD (v5.1, p.188) it reads:

The transformation lasts for the duration, or until the target drops to 0 hit points or dies. If you concentrate on this spell for the full duration, the transformation lasts until it is dispelled

This wording seems to answer the question, that "lasts until it is dispelled" replaces the ending conditions given earlier, but also notes that the effect can be dispelled.

For some reason, this change was never listed in official errata, though the wording did indeed change between printings.

Also, apparently Crawford stated explicitly that this clarification was made on Twitter.