I have been fortunate to have taken three. I was always an Africa nut and started two side businesses to fund trips. I am not rich. I cut grass as a kid to fund my first trip. Now I train and breed hunting dogs and sell hunting articles to fund trips. That is sort of 'fun money.' I don't use my regular salary to fund hunting.
My first was elephant, and it was unreal. I hunted a tuskless cow in the Zambezi Valley. They are very volatile and you spend a decent amount of the hunt running away from cantankerous cows. It was an all tracking type safari and I shot her at 12 yards in the thick jess. That was and remains #1 for me. 100 villagers showed up a few hours after I got it. There was a blood puddle when they left..
I took a hard bossed cape buff on that same trip. I'd rate it #5, but I really enjoyed it. (It is like picking the best looking lady in a SI swimsuit edition....they're all cute, so #5 is still good.)
I was able to hunt a male lion a couple days before the export ban took effect, and it was only financially possible due to a very rare set of circumstances. The landowners in the area were going to wipe them out once their biggest market (USA) shut down imports in Jan 2016, and an outfitter rushed a permit for me and I was successful in time. They did not want them around eating plains game since they became worthless to them. That's how conservation in Africa works. Animals can stay if they are the land's highest use...otherwise it dies. I'd rate it #3. That trip was like 85% off what had been market price. Cheaper than half the plains game hunts I have done. It was literally a discussion with my wife like this: "I'd like to do this hunt. I'll regret it forever if I don't." Her:"Go for it. When do you leave." Me: "Ummm Wednesday."
I think a rhino would be amazing...just a neat animal and done by tracking it would be a taste of old Africa. I'd rate it #2 just because the animals are so incredible and also them and elephants have the most crucial hunting imperative for their conservation. Hunters/landowners literally saved southern white rhinos from extinction.
Leopard would be #4 for me.
I had a hunt to continue my five that I would have returned from last Thursday. My wife was going to come as well, which although we have backpacked in Africa together, and met there, she has not been on a hunt with me. It has been rebooked.
Africa remains an amazing adventure whether you go for impala and warthog, or a 50 year old elephant. Plains game hunts are far and away the best value for any guided hunts in the world in my opinion. Just go do it.