Our primary handles this well, I feel. The 'daily act of worship of a broadly Christian nature' is incorporated in the HT's thoughts for the day/week. In assembly she might say something along the lines of "I'd like you to think about how we can be kind to each other, or grateful for XYZ, etc", and then pause for a few moments.
The thought for the week gets posted on classroom noticeboards and in the lobby. It might give thanks for something seasonaly appropriate, or be a request for help in achieving something, etc. Occasionally a more thoughtful child will ask to whom this thanks or request is addressed. The teachers generally respond with "who do you think?", and the the child's response is either accepted (God/Mummy/Mrs Green/Wolverine) or used as a jumping-off point for further discussion.
They have the occasional overt Christian act of pworship, eg Harvest in a church, from which some children are withdrawn, as well as other events that most of us would not see as worship, from which some children are withdrawn, eg JW children from Birthday Assemblies. As far as I can tell, the withdrawn children have no alternative provision, but enjoy helping the TAs/reading/doing extra support work in maths or FMS (what I do as a volunteer).
I think it's an excellent and pluralist-society-friendly interpretation of the govt's requirements.
For full-disclosure: I'm a member of a non-Christian religion, an assimilated person of faith, who believes that religion should be taught in a diverse way at school, but not as a practice. Unless, of course, you choose to send your child to an overtly religious (maintained?) school.