Does a Druid in Wild Shape receive the creature's natural attacks?

Wild Shape states

Your game statistics are replaced by the statistics of the beast

But it seems the confusion is are actions game statistics?, or, more generally, what are game statistics?

Actions are game statistics

Page 6 of the Monsters Manual defines what are a monster statistics:

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

Notably, one of the subsections in the Statistics section is Actions, p. 10 and 11, which include the monster attacks.

The most common actions that a monster will take in combat are melee and ranged attacks. These can be spell attacks or weapon attacks, where the "weapon" might be a manufactured item or a natural weapon, such as a claw or tail spike.

Therefore, yes, the attacks from the monster are part of its statistics, not only movement or senses.

Although there is a notable exception in the Wild Shape feature:

If the creature has any legendary or lair actions, you can't use them.

The Player's Handbook states that:

Your game statistics are replaced by the statistics of the beast, but you retain your alignment, personality, and Intelligence, Wisdom, and Charisma scores.

The only actions that the beast may typically have that you would not have while in Wild Shape are explicitly defined as "any legendary or lair actions." All other actions, including regular attacks for the beast, are fair game and would replace your character's typical actions.