My issue is very similar to http://wordpress.org/support/topic/error-in-wordpress-361-in-spanish. I will explain:
When trying to upgrade version 3.6 to 3.6.1, after clicking update, the old 3.6 version page shows up and the 3.6.1 keeps showing as an available update.
The wp-includes/version.php shows that I am indeed on 3.6.1:
$wp_version = '3.6.1';
I have several sites, and only one site has this problem.
I have also tried manual updates by replacing updated files and running wp-admin/update.php but I get the same result.
I'm using the regular English download. The wp-includes/version.php inside the download package shows as version 3.6.1.
I have uploaded all the files, replaced the originals, and it still does not work.
To me it seems like the actual files are up to date, but something in the database still shows 3.6, and it refuses to update the database to show the correct 3.6.1 version number, but this is just a guess.
Any help is appreciated. Here's some of my server info:
Magic Quotes GPC: Off
Memory Limit: 128.0 MiB
Max Upload Size: 15.0 MiB
Maximum No. Connections: 75
Maximum Packet Size: 1,024.0 KiB
Data Disk Usage: 5.0 MiB
Index Disk Usage: 1.6 MiB