What beliefs would we consider reasonable for a self proclaimed Christian to hold?

[drfuzzy]

You can't possibly have paid proper attention to the actual science if you're ignorant enough to present that mayfly analogy.  Any educated teenager can tell you that time and reproduction are not the only driving forces of the natural selection process.  They could also show you current, ongoing examples of evolution being measured and documented.
Mayflies.  Seriously?  That one was even more ridiculously ignorant than the 747 example.  Give it up, troll poe.  You dig your painfully obvious ignorance hole deeper with every post.
Mayflies.     You didn't graduate from middle school, did you?  Or are you from a long line of sisters and brothers marrying each other - like the fantasy offspring of "Adam and Eve".

You only hold your position because you've been told all of your life that an absurd book of fairy tales is literal truth, and that your sky demon imaginary monster god will fry you forever if you dare to question it.  That's the only possible answer for rejecting hard science in favor of delusions.

Bold added. These are examples of adaptation, not evolution, there was no species change here. The birds are still birds, fish are still fish, reptiles are still reptiles etc.

"Species change" is not the only measure of evolution.  A greater population with physical traits that would have been unusual a few generations before also qualifies.
But yes, species change is being measured in short spans, most often as a result of environmental changes.  

2015 Discover article:  http://discovermagazine.com/2015/march/1...-fast-lane
"Most recently, evolutionary biologist Yoel Stuart found that green anole lizards on islands in Florida’s Indian River Lagoon needed just 20 generations to adapt to an invasion of brown anoles. Driven to higher perches by the invaders, the green anoles became better at clinging to branches by developing larger toepads with more scales — in just 15 years. It’s more evidence of “evolutionary change on observable time scales,” says Stuart, now at the University of Texas at Austin."