The Trent has everything these days - including, if you know where to go, some quiet, scenic stretches full of character. It's 5 mins from my door, but I drive 30 mins or more up or downstream to fish. Much of the middle Trent is like a motorway: wide, relatively featureless with high banking and plenty of traffic. I'm more for the A roads and B roads. The barbel fishing is second to none.
The Derbyshire Derwent is so beautiful once you get a few miles above Derby that my reaction on first seeing it was "Can I really fish here on this ticket?". There are some idyllic stretches below Derby, too, but the fish stocks have been unaccountably depressed for a number of years now. It was once a roach, chub - and later barbel - fishing Mecca, so there's always hope. And plenty of grayling in the meantime.
The Soar - around 15 mins away - is closer to the river I've enjoyed most, notwithstanding all the thrills and spills of faster water, big barbel etc, the Weaver in Cheshire. A mix of deep, slow canalised sections and featureful non-navigable flowing sections, you can find places to fish any method you enjoy for any species in pretty, pastoral landscapes.
A bit further down the A50 we've got the third big Trent trib, the Dove, another medium size river full of character, often in idyllic settings.
There are two very small rivers and a tiny brook 10 mins away. Much as I like them, they're places where you go for an hour or two and pick up the odd chub on lo-tech methods and a pocketful of gear. Nice get-out-of-the-house-for-a-bit places.
Naturally, I like some of the popular holiday/special day out places: Middle Severn from Ironbridge down to Bewdley; the Wye around Hereford or Ross. I'm thinking more of bread and butter, everyday fishing, and I still miss being able to drive to Northwich, have a look off bridges on the Weaver and Dane (a serpentine little beauty of a river) and decide if I fancied fishing stick float for roach and chub, feeder for bream, pole, waggler or slider for everything including tench or even sit out for a barbel or carp. Within a radius of half a mile you could be on a deep pool or fast shallows, next to locks, sluices and bridges with all that fabulous waterside architecture or under a tunnel of trees, on the main big river or a secluded backwater, on permanent pegs on a flat towpath or in the foliage down a steep bank. Wouldn't be everyone's cup of tea, but I loved the place.