If you enjoyed Lucifer's Hammer then read Footfall. I think it's even better. Remember Harry the mailman? I really enjoyed that character. Well, they have a similar character in Footfall, Harry Red, an ex-biker / minstrel (he plays guitar and sings in bars to get drink and gas money). Really enjoyable.Well, I didn't really. The weepy diabetic guy's moral of the story, and the goofy alliance with the Soviets sound like unfettered gloomy Pournelle. Larry Niven's the wit of that collaborative team, which is why I enjoyed "Ringworld" and "Ringworld Engineers". :')
One of the things I really like about Niven is that a lot of his stories take place in one reality, which has been dubbed Known Space. It stretches from just a little in our own future, particularly with lots of stuff about Belters, the first independent humans who set up a society and industry off of Earth, to the far future of Ringworld and related stories. And he brings back events or references, as well. Of course, it also limits him (mostly) to the things he's established in earlier stories.