There are some things that really annoy me that you had with the old box; these include:
Not being able to select 'View From' on a catchup programme (e.g. I always viewed Pointless from 6 minutes to avoid having to listen to all the introductions)
Not being able to scroll back up through an A-Z list - e.g. if you wanted to watch, for example 'Pygmalion', it would be quickest to select Q and then scroll up. With Tivo you HAVE to select the letter you want and then scroll down endlessly until you get there. And sometimes it takes forever because they will have every episode of a child's programme listed, or something.
Not having the programme time shown on the left of the list if you choose to search for a show using Catch Up by day. It's shown with all the programme info but your eye can't catch it as easily.
Not being able to fastforward on BBC iPlayer while seeing the action - if you press the FF button it takes you a minute on or back and you just jump straight to it.
I have known programmes to be available on iPlayer but not showing in my A-Z listing; I suspect this is because I have recorded it in the past or it's been recorded as a 'Favourite' - so it deselects it on your behalf. Not always helpful.
Picking up on favourites - I record Pointless religiously, but it has never twigged to record POintless Celebrities for me. I record Something Special religiously, but it didn't pick up on the new 'We're All Friends' series - I had to series link that myself.
Actually, I much prefer our V+ box to the Tivo. The only thing I really appreciate is that it will take you back about 5-10 seconds when you are fast forwarding through a programme, so overruns on an ad break don't result in you missing anything.