Arens?
Arenas?
Basicly, any 'foreign' building will incur a culture penalty, though some of them (such as temples) will provide benifits, its a trade off of those benifits vs the unhappyness generated by cultural difference.
In the long run if you can't upgrade an existing building, you want to look into demolishing it and replacing it with one of your own.
In the sort term, that temple's benifits (+1 experience say, or maybe something else) may be worth the extra 10% unrest.

the romans love to liberate taverns from enemy settlements, i never delete them.. do u think the culture penelty is more than the bonus of a tavern???

Do the math.
A lone building of the wrong culture will give 5-10% unhappyness, where as a Tavern gives you what? Plus 5% happyness?
At the best of times, it will cancel itself out, better to replace it with your own equivilent IMHO, that way you get pluses and no negatives.

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It also depends what retinues are produced from those buildings. If the pluses and minuses cancel one another out, but the building produces retinues that you would not otherwise get (esp. command points!) then I'd say multi-culturism isn't so bad.

I'm not sure Taverns give much in the way of retunies, but yes, for temples in the short term, but in the long term as your city grows, you're gonna want all the extra happyness you can get, which means building your own temples.

Taverns usually give me a bad retuine like a "drunk" and bad traits...i always delete them just to be sure my leader doesnt become that way.

well i'm having trouble shifting around this drunken uncle.. arenas give more bad traits than good ones.. nearly every governor i have in a settlement with one has become a blood thirsty loon..

So does the temples of other cultures give your population happiness when you captured their city?

ive found that retinue-wise, the britons are the worst. i find myself having to move every potential general around all the time so as not to get "slubberguillon".

I always find games and racing to be enormously useful. They give you a potential short-term 30% boost to public order, making them a superb way to avoid riots. Of course, this costs money, but 400 to 800 denarii a turn is pretty much always less than the cost of a rebellion. Most cities produce that much anyway, once you readd the costs for armies, generals, and agents (which aren't specific to the city).

-Simetrical