GBH is a setting, there are multiple games.
GBH CP1: I don't recommend starting with this, even though it does contain canon story events. Boko himself calls this the "the experimental first version of GBH" and describes CP2 as "GBH with an improved battle system". Has a handful of battles.
GBH CP2: 1. Go to
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2. Click Girl Beats Hero. 3. Click Girl Beats Hero CP2. 4. Download the final, complete version there (from Google Drive, or on Ci-en which may require a free account). Lengthy and full of content. It used to be the main download of this thread, but was deleted and replaced with a short alpha of a different GBH game a couple of years ago.
"GBH3 Test" - The original short VN-like game that features Philine, which was later ported to GBH AS but lost its QTE as a result. Released after Boko finished CP2. To be clear, there's no battle in this.
GBH3 Alpha: It's the only download in the first post of this thread, currently. Just contains one battle with Senri. [Edit: There's also a second battle against five bunny girls, designed by Boko to test out multi-enemy battles. Thanks for the reminder, Mardion!] Boko put it on hold indefinitely due to motivation issues.
GBH Another Story: Contains a collection of several side stories with no gameplay. It's Patreon/Ci-en-only, though links have been posted in the thread if you look back. Boko has been adding side stories periodically, including the Philine story from "GBH3 Test". I think the latest version is 0.5.0 which came out earlier this year. Not to be confused with "Another Story" HTML-based side stories.