Down a quiet side street off Narodni Na prikope (nearest underground Narodni trida) is the Elite, very recently renovated and with a clean, fresh paint feel (though fortunately not smell) about it. It''s well placed for the river and not too far from the main drag without being bang on top of it (with the attendant busy-ness, crush, noise and prici-ness).
The nicely fitted bedrooms are smallish but well laid out and boast what is surely the cleanest en-suite bathroom I have ever seen in a hotel. Usual mod cons of A/C, satellite TV etc.
Reception is cheery and welcoming, and generally efficient though rather overstretched at peak check in/out times (they make up for it with a bowl of sherbet lemons to help pass the time!). The same (without the sherbet lemons) can be said of breakfast, which is held in the associated next-door bier-kellar (actually on street level but cleverly decorated to feel subterranean and cavernous) and can be something of a squash for shared tables and queues for (not bad) coffee. Overall breakfast is good -- a variety of breads and rolls, cold cuts, fruit, yoghurt, salads.
As you enter from reception and head towards the rooms, you pass through a light and airy indoor bar which in turn opens through french windows onto a courtyard square with benches and a few artfully placed statues. Ask for a room which overlooks the courtyard as I suspect weekends might get a little noisy.