Some of the best basestealers in baseball have the green light to run whenever the opportunity presents itself.
Capsules of National League teams, listed in order of finish last year:

Miguel Tejada watched from the visiting side when the San Francisco Giants celebrated their NL West title after knocking out his San Diego Padres on the final day of the regular season.
A person familiar with the deal says the World Series champion San Francisco Giants have agreed with free-agent shortstop Miguel Tejada on terms of a one-year contract.

The World Series champion San Francisco Giants have found their new shortstop, agreeing to terms with free agent Miguel Tejada on a $6.5 million, one-year contract Tuesday.

Bumbling on the bases and fumbling on the field did in the Texas Rangers.
Bumbling on the bases and fumbling on the field did in the Texas Rangers.
A look at the best-of-seven World Series between the Texas Rangers and San Francisco Giants:

Two of the newest Braves produced the key plays to keep Atlanta from the brink of playoff elimination.