With this age and price of car, the way it has been treated will have more influence on its potential servicabllity than the brand, that said I would trust the Mondeo most as the Avensis of that age might have the faulty oil burning batch of engines - yes even the Japs get it wrong occasionaly - and GM electrics are, well, GM electrics.
RE the Accord, yes a cracking and reliable car, but don't overlook a Rover 620, it IS a Honda Accord but can be picked up for half the price. Just as reliable and well made but not as fashionable. The rest of the Rover range at the time is rubbish, the 620 was a peach.
The Mondeo is the most accomplaished car of its age. Check out pedal wear, many cars of this ages may have been used as private cabs. You should be able to find a one or two owner car and don't overlook other cars not listed above, i.e. Nissin Primera and Mazda 626/6.
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