There are a lot of songs which drunk Russians usually things, just google on "застольные песни"

But If your friend is a programmer - I don't think he will enjoy these songs. Just try to find out what does your friend prefers.
I can't remember which funny songs I heard from programmers, but I've heard Babkina & Kadysheva (Бабкина и Кадышева) from drunk biologist - that was funny

Also I asked my friend about this. Here is her answer:
солодуха, киркоров, любэ.. бабские "а я нашел другую", мм демобилизация)) апина.. аа!!!!!! у нас все по пьяни иванушек слушают, говорят, вставляет!!!)