Eneloop all the way. No question at all. My Eneloop XXs are currently part way through 12 month evaluation so the jury's out on them but the white Eneloop 2000mAh are superb. Certainly beware anything which 'claims' >2700mAh - it's the bigger/better/faster marketing game and really pushing the bounds of current technology. Unless you're using your cells all the time, low self-discharge more than makes up for a higher rating which has leaked away much of the 'extra' stored energy in the first week or so after charging.
Probably the kindest thing to be said about Uniross is that they have achieved very high market penetration in the UK. Set against that is that the best of them almost reach mediocrity, I wouldn't thank you for a lorry full personally. We had to use them at College when I was lecturing and they were nothing but a total nuisance - low initial rating, poor power retention, perpetually failing on-the-job. But they were all we were allowed (educational buying politics & policies, etc., etc....).