You can find a list with Q&A about Lollipop support on the XDA Portal. Please read it, you will find many answers there. Also see this article with much background information on new stuff for Nougat.
Please install it only if you're willing to take the risk of boot loops. Just because it's working fine and stable for me doesn't mean it will work for everyone the same way.
XposedInstaller_*.apk from this thread: Must be installed to manage installed modules, the framework won't work without it.
xposed*.zip from http://dl-xda.xposed.info/framework/: Must be flashed with a custom recovery (e.g. TWRP) to install the framework.
SDK21 is Android 5.0 (Lollipop), SDK22 is Android 5.1 (also Lollipop) and SDK23 is Android 6.0 (Marshmallow).
For Nougat, SDK24 is Android 7.0 and SDK25 is Android 7.1.
For Oreo, SDK26 is Android 8.0 and SDK27 is Android 8.1.
I only support the latest Xposed version per Android release!
xposed-uninstaller*.zip from http://dl-xda.xposed.info/framework/: Can be flashed with a custom recovery (e.g. TWRP) to uninstall the framework.
The small .asc files are GPG signatures of the .zip files. You can verify them against this key (fingerprint: 0DC8 2B3E B1C4 6D48 33B4 C434 E82F 0871 7235 F333). That's actually the master key, the files are signed with subkey 852109AA.
- Before Nougat: Bootloops on Samsung stock ROMs. That's due to Samsung's changes to ART. There are unofficial builds that work around this by deodexing and adjusting the ROM.
- Sony seems to have shipped some ROMs with corrupted services.odex (the embedded .dex is invalid). Those ROMs will bootloop with a "Fatal signal 6" or "No pending exception expected: java.lang.ArrayIndexOutOfBoundsException" error, which I unfortunately cannot fix (see https://github.com/rovo89/Xposed/issues/64)
- Dell ships (at least) their Venue 8 7840 with a non-standard version of ART that is somewhere between 5.1 and 6.0 which obviously isn't supported by Xposed (see https://github.com/rovo89/Xposed/issues/77)
For discussions, please use the discussion threads (Lollipop / Marshmallow / Nougat / Oreo) or another matching one in this subforum.