Never. Toy Story is a movie - every second of what you screen is overseen by multiple highly talented human beings - a game will never 'look' as good, even when the technology has surpassed that of Toy Story. You might as well ask when real-life will 'look' as good as Goodfellas.
As for when game technology will be sufficient to render Toy Story quality graphics - the original rendering farm for Toy story could perform 16 billion instructions per second and took 2-15 hours per frame. A top of the line quad core runs at ~100 billion instructions per second (wiki) and a graphics card can max out at maybe ~900 billion instructions (depending on type). So you are looking at maybe 2-15 minutes minutes per frame, or 0.008 FPS, so we need an increase of about a factor of ~4000 to get to 30FPS. It took from 1987 to modern day (22 years) to see that type of increase in processor speed for everyday use. So within 10 years or so the technology should be in everyday peoples hands to render something similar to Toy Story.
http://findarticles.com/p/articles/mi_m0EIN/is_1995_Dec_4/ai_17812444/