[problems]

KeePass, it's well supported on mobile platforms and has decent browser addons.

Looks like their Argon2/ChaCha20 based KDBX4 format is now out too, so I've got some upgrading to do.

[Flimm]

KeePass doesn't have sync or sharing features.

[problems]

Sync is easily achievable, I use Syncthing to go between my phone, dev server and desktop. Other options are the usual suspects, Dropbox, BT Sync, etc.

As for sharing - yeah, you probably lose that. Well, unless you sync a separate DB or something.

[beart]

You can easily use it in conjunction with drop box or any other file sync program.

[cmdrfred]

Yes it does you just have to run your own server.

http://keepass.info/help/v2/sync.html

[someguy101010]

it isn't difficult to share a database file for KeePass and you could easily set up a sync interface for it with github

[Globz]

I put my keepass in a veracrypt container and sync it over dropbox, then you can retrieve it on your phone.

[problems]

That's a tad on the paranoid side since KeePass already encrypts it. If you're using the latest version which has significantly improved the encryption you should have a very good margin of security.

[Globz]

Its a bit of extra work to get my passwords but my entire "internet identity" is stored there so I don't mind the paranoid security.