Are there any sports or skill-based games at which humans could consistently beat a T-800 or T-1000?

Any skill-based games count, such as checkers, Connect Four, and kickball. The T-1000(s) must remain in Robert Patrick form. Terminator teams (where applicable) may be composed entirely of T-800s, T-1000s, or some of each model. Rules of the sport/game must be followed by both sides (terminators may not break/slay opponents, etc.).

Games that depend on both skill and luck (e.g., most card games) are not allowed.

Wii Sports probably

Consistently? No. Our top chess players could probably beat skynet though... they're usually one step behind.

Swimming

@firestarlord73194: Yes, at least with the T-800. Nice answer.

Gymnastics. Neither model showed much agility. And the T-1000 can change its shape but not its mass/weight. So it would still be unwieldy in a smaller, more gymnastics oriented frame.

Rhythmic gymnastics, figure skating, freestyle snowboarding maybe...any judged sport with an artistic component could go against the machines. Also, I have to wonder about the ski jump since the machines can be pretty heavy.

@Penguin-Dust: What about NASCAR? Or boxing?

@vivec3629: No, the T-1000 may not change its shape, per the OP.

Dog sled racing. The dogs would know the terminators are machines and not cooperate with them.

Most likely basketball since I seriously doubt they could pick up a bb and shoot it worth a damn. Baseball also.

Games that require creativity and more abstract problem solving skills. Charades, drawing games, etc.

A human might be able to look at the squiggles on a board and realize you're attempting to draw a giraffe, but a computer might not. Especially not a computer that probably wasn't designed to perform a task where recognizing a drawing of a giraffe is a useful skill.

Swimming...

playing in a casino , sex , drinking , smiling , eating and not having to be played by Arnold schwarzenegger