Map of all points below a certain time of travel?

Other than the ones in @BioGeek answer, here are some more:

Nokia Here Maps API can give you the exact shape of the output. They call it time-based isoline. See here: Requesting a time based isoline

For travel times under 10 minutes, Isoscope is available at this address.

Also this looks promising: Route360

Update:

Route360 can be used for free in the following places:

• Africa

• Austria

• Australia and New Zealand

• British Isles

• British Columbia

• Czech Republic

• Denmark

• France

• Germany

• Italy

• Malaysia, Singapore, and Brunei

• Mexico

• Norway

• Portugal

• Spain

• Sweden

• Switzerland

• USA

I think you are looking for something like Mapnificient: it shows you areas you can reach with public transportation in a given time (video).

A similar site with even more options is How Far Can I Travel. Here you can choose between inputting your speed of travel and a travel time OR a distance. Optionally, you can also specify how accurate you want the results to be.

Now, how to create such examples yourself? See this related question where the accepted answer explains step-by-step, how you can get travel time data from the Google Maps API.

Finally, for $8.75, you can buy the article Stata utilities for geocoding and generating travel time and travel distance information by Adam Ozimek and Daniel Miles that describes traveltime, a command that uses Google Maps to provide spatial information for data.

The traveltime command takes latitude and longitude information and finds travel distances between points, as well as the time it would take to travel that distance by either driving, walking, or using public transportation.