A huge park to the south of JR Hiroshima Station, between two branches of the river. (Follow Ekimae-dori from the station to the southeast, and you'll walk directly into it.) There are the usual areas for sitting in the sun (and rather a lot of stray cats), but much of the park remains refreshingly undeveloped forest, save for a futuristic tunnel to SATY, a neighboring shopping complex and movie theater.
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広島市現代美術館
Probably the most deserving of a visit among Hiroshima's art museums. There are a few famous Western names in its collection, including Andy Warhol and Frank Stella, but the real focus is on interesting modern Japanese artists working in their own styles, and the exhibition designers make creative use of the museum space. Special exhibitions cost extra. There is a sculpture garden outside that can be visited for free, and a decent city-view from the plaza near the museum's front steps.
広島市立まんが図書館
Around the corner from the Museum of Contemporary Art (below). The vast majority of the manga are in Japanese, of course, but they do have a selection of Western superhero comics.
The much-beloved and much-bemoaned Carp are Hiroshima's entry in the Central League of Nippon Professional Baseball. After more than fifty years in a stadium across the street from the Peace Park, the Carp moved to the new Mazda Zoom Zoom Stadium in 2009. While the team doesn't win much, the enthusiasm of the fans can hardly be faulted, and Hiroshima is as good a place as any to witness the fervor of Japanese baseball fandom. Tickets range from ¥1800 to ¥3500. Ask for the Carp Performance (カープ パフォーマンス) tickets — that's where the drums, chants, and excitement are. Tickets are sold at the stadium starting at 10:00, the "Green Window" at JR Hiroshima Station, and a number of convenience stores.
袋町小学校平和資料館
Like Honkawa, part of the original school building that remained standing after the atomic bomb has been converted into a museum. In the days after the explosion, survivors used the school's chalk to leave messages for lost friends and family members on its blackened walls.
Bowling alley and entertainment center, popular with locals of all ages in Hiroshima (it is also present elsewhere in Japan). The first three floors consist of an expansive arcade, with racing games, classical arcade games, horror games, claw machines, and gambling/slot machines. The following four floors have bowling alleys, and the final floor has food, billiards, ping pong, and darts. Prices depend on what you're doing, and for how long.
半べえ
If you want to take an onsen in Hiroshima, this hotel, restaurant, garden and onsen isn't bad. They have a good range of baths including a variety with jets, a "lap walking" bath, and a small outdoor area and a sauna. Not too remarkable as onsen go, but nice enough.