I am American and I don't know what tax-advantaged savings options are available in England, but I will tell you that if you are 19, you have the luxury of a long time horizon - meaning, you will love yourself forever if you invest in FI now. I would work on long-term and short-term (i.e. down payment) savings simultaneously. At least seed your FI fund a little bit and then let time work for you while you focus on your other goals.
Onto budget items:
- In general your budget looks good and it seems like you've chosen the most cost-effective living arrangements and transit.
- What does the phone insurance cover? I'm wary of insuring physical objects in general - you usually end up spending more than you'd spend to replace the item every x months/years.
- Wow, Spotify is the same number of pounds per month as dollars? They should give you a break on the exchange rate! Oh, well... Personally I use Pandora, which, since it's played over the browser, you could pay the American price of $3/mo, which would bring it down quite a bit. However, I admit that spotify is better if you want to listen to specific songs (not just internet radio).
- Between food for work, date nights, DVDs & games, spending money, and misc, I count five categories that I personally lump into "discretionary spending." (I count make up there too, since it's non-essential, although it may be more of a "need" for you if your workplace unofficially requires it.) It may encourage you to spend less on these items if you don't break them out into separate line items. That way, if you buy a few extra lunches during the workweek, you just automatically adjust by waiting until next month to buy the latest game, or whatever. (Insert caveat here about how it certainly may be worth it if these items are highly valuable to you - it's up to you to choose your priorities.)
Also, if you have netflix, what do you need dvds for?</frugal jerk>