We had one TV repaired twice, but I probably wouldn't do it again -- as long as you don't need anything fancy, you can get a new one for not much more than the cost of the repair.
We had our dryer repaired twice, and the third time it went out, it was really gone. I don't like our new dryer, but what can you do. We've had the washer repaired, and it's now 12 years old, but seems to be doing well.
The dishwasher we replaced -- there was a recall on it, but the company wasn't giving enough of a credit to make it worth purchasing their brand (hated that dishwasher anyway), so we bought a different brand with no credit.
And now the stove needs to be either repaired or replaced -- when the guy came out to look at the dryer the last time, he said it would cost about $200 to repair (the starter is going, takes up to 30 minutes to get up to temperature), but as it's 8 years old, and I've never liked it at all, if I can scrape up the money, I'll buy a new one instead.
You really have to look at the cost of the repair, the cost of a replacement, and the age of the appliance. There are a lot of considerations to look at! Good luck.