If your budget is firm then the Sony PSLX300 would be a decent match to go with a midi system. It is around the £130 mark and has a built-in switchable phono stage so can be connected either to a proper turntable (phono) input or to a Line/AUX/AV-type input. This means it will work with any sound system with a spare input. As a side bonus the turntable also has a USB connection. With this you could copy vinyl straight to a PC.
If you feel you might get in to vinyl in a more serious way then it would pay to look at a better turntable now. The problem though is budget. A company called Pro-Ject makes a line of turntables aimed squarely at the budding vinyl enthusiast. The Pro-Ject Elemental line is their entry-level product. Prices start at around £170 but you'll need to budget for an outboard phono pre-amp (starting at around £30) if the stack doesn't have a dedicated turntable input.
The used market is worth a look too. Pro-Ject makes versions of its turntables with a phono pre-amp built in. Any Pro-Ject model name including the word 'Phono' is just such a turntable. So, a Pro-Ject Essential II Phono USB would have both the phono pre-amp and a USB output. These are a shade under £290 new but often crop up used for around half that price.