Sure. 'Hawkeye' by Matt Fraction. It's a self - contained story that mainly focuses on Hawkeye's life outside of the Avengers and also his role within the team. It has a unique art style and a great sense of humor. It's a great entry point for new readers to get to know one of the Avengers better.
The 'Secret Wars' storyline (the original one). It's a self - contained event where many heroes, including the Avengers, are brought together on a strange planet. It's a big adventure with lots of action and character interactions. New readers can enjoy the epic battles and get a sense of how the Avengers interact with other heroes in a different setting.
The 'Avengers: Earth's Mightiest Heroes' animated series has some self - contained story arcs that are really good for new readers. It adapts many classic Avengers storylines in an accessible way. For example, the arc where they face off against Loki for the first time. It's easy to follow and gives a great overview of the Avengers' dynamics.