The "Despicable Me" franchise, known for its humor and heartwarming stories, has had several films that received nominations for Golden Globe Awards. Specifically:

1. Despicable Me (2010) - This film was nominated for the Golden Globe Award for Best Animated Feature.
2. Despicable Me 2 (2013) - This sequel also received a nomination for Best Animated Feature at the Golden Globes.
3. Minions (2015) - The spin-off featuring the beloved Minions was nominated for Best Animated Feature as well.

While "Despicable Me 3" (2017) did not receive a nomination, the first two films and the Minions spin-off were recognized for their contributions to animated cinema.

For more detailed information about the Golden Globe nominations, you can refer to the official Golden Globe Awards website or entertainment news sources.