I bet that the same problems with mtgox are with other exchanges.
Beware were you put your money because exactly like mtgox other exchanges will have issues paying their customers.
Some may be at risk, and I don't believe all exchanges are, but it is prudent to withdraw your coins just in case. There are one or two exchanges that I believe are extremely healthy and may use them more often in the future.
(Don't ask me which, I don't want to be responsible when they die too)
I personally use Coinbase. Main reason is I live in US and Coinbase is based in US. I just couldn't trust BTC-E, based in Bulgaria. BTC China is out of the question. Bitstamp looks inconvenient since, again, it's in Europe. I have an account with MtGox, but I never used it since it's based in Japan. International wire transfer is simple out of the question for me.
Coinbase is very slow. It takes up to 10 days to buy a bitcoin. But it's mostly bank's problem. One nice (or worse) thing about Coinbase is that, they don't keep your fiat themselves. Once you are verified, you can buy bitcoins without any balance. The fiat will be withdrawn from your connected back account. Transfer from your bank account to Coinbase takes about 10 days. Of course, buying price is from a 'click' of buy button, not after 10 days of transfer.
If you sell your bitcoins, fiat will not stay at Coinbase, it will transfer back to your bank account. Therefore, there is no fiat in Coinbase at any given moment. This can be a curse (for day traders) or good protection for regular bitcoin users.
Bitcoins will stay at Coinbase account, if you remember bitcoin wiki, online wallet is most insecure that it's recommended you need to transfer to your own wallet or some place else immediately.