Having had a quick look, I am guessing that you are looking to spend in the region of £2500?!?!?
The Fiesta is a fine car and if you find a good example you can't go far wrong. However, you do have to keep your eyes peeled for a good one, don't go for a modified one.
The 106 is brilliant, but as you quite rightly say it is "buzzy", and is difficult unless you are completely committed for a long journey.
There are other alternatives though.....
Peugeot 306 1.8 16v XS - Not many of these around as they were a bit of a parts bin run out model. Terrific car though. Quick, handles, has a half decent sporty interior, and looks like a GTi-6. The best thing though is the insurance group. 6. I ran one for a three years and loved every second. One of the motoring worlds best kept secrets!
MG ZR 104 - Not to everyones taste, but still a great car. Peppy engine and half decent styling both inside and out give it a reasonable image. Cheap to run and insure at group 9. Some tidy ones around at the money too.
Nissan Almera 1.8 Sport - Okay, leap of faith with this one! A car with little to no image, and all your mates will probably take the p**s out of you for this one, but underneath it all not a bad car. Not as capable all rounder as the Peugeot or MG, but quick, solid and reliable. Group 7 insurance and plenty of good ones around for the money.
Renault Clio 1.6 16v Dynamique - The hottest thing under the 172 at that age. Light car with decently powerful engine and agile chassis. The traditional Renault issues of crap interior quality still apply but a good all rounder. Group 8.
Best of luck.