No issues here either.... and I can set multiple alarms if needed.
Its actually one of the best alarm clocks on a phone ive ever seen
You can have many alarms set up, each can be set to activate on either one or several days, can be set to repeat each week, can have its own specific melody, its own snooze time etc.
If you think the HTC one was better, id like to now how as the S4 one (like the note 2 I had before) seems to have all the bases covered.
Maybe, just maybe, you did something wrong, or the devices time was wrong etc. Just saying. ;-)