The only real "buzz" off of cigarettes that I ever got was over the course of my first pack or two back in 1986. I even quit cold turkey for 6 months back in 2006 and when I lit up that first one again I still didn't get the lightheaded tingly feeling from head to toe that I got when I was brand new.
But that doesn't mean I can't feel the nic. Here's what I get within about 3 minutes (as opposed to 30 seconds with cigs) of vaping in the morning: My cloudy head starts to clear. In other words my brain wakes up. I suffer from moderate depression and anxiety and those feelings start to fade and subside, meaning I get both a calming effect and become more alert at the same time (wonderful feeling...much better than the "woozy buzz" the OP is looking for).
I feel more mentally alert. I can begin taking on more complex mental activities and begin to multitask without feeling overwhelmed. And my overall mood just improves. I'm ready to tackle whatever the day may bring. Nicotine is a wonder drug for me, but the buzz the OP mentions, for me, is both unattainable and undesired. In addition, with vaping, I can fine tune my nicotine in ways that aren't possible, or at least much harder, with cigarettes.
Caffeine? Just makes me hyped up, makes my heart race and I get jittery and easily frightened by loud noises. Can you guess which drug I like better?