I finished a 1CC ARC/Harmony game the other day. I wasn't expecting a 1CC, but I was completely boxed in by aliens. Brasilia and Polystralia (run away Civ. Wiped out PAC and dwarfed everyone on the scoreboard) declared war after I placed the Mind Flower, but none of their units dared approach my lone Xeno Titan guarding it.
Anyways, as for tips...
Spies are the key to out-teching the AI. The faster you get the spy agency up, the more time you have to run wild on the AI before their counter-intelligence shows up. I only had 70 beakers by the time I won on turn 360.
Energy is quite useful. The second Tier I synergy bonus is a must-have. Without internal trade routes, I had to purchase a lot of late game buildings because I was way behind in production (7 of my tiles were hills, too).
Oh yes, I will be loving the spies
Energy is on my radar too.

Mainly the 1% interest and the +6 energy from trade routes to the little city states.
The second Tier I synergy is +10%Energy and +10%

in the Capital isn't it?
I'm thinking of avoiding it so I can go down the Knowledge virtue path faster.
+2

to Academy's and +7

to Wonders is just so good.
I'm going to use this post to keep track of Building Reward choices and pop growth/culture virtue breakpoints.
(Looks like 15 + 9+11+13+15+17..etc///increases by 2 each time)
Pop 1 - 15

Pop 2 - 24
Pop 3 - 35

Pop 4 - 48
Pop 5 - 63

Pop 6 - 80
Pop 7 - 99

Pop 8 - 120
Pop 9 - 143

Pop 10 - 168
Pop 11 - 195

Pop 12 - 224
Pop 13 - 255

Pop 14 - 288
Pop 15 - 323

Pop 16 - 360
Pop 17 - 399

Pop 18 - 440
Pop 19 - 483

Pop 20 - 528
Pop 21 - 575

Pop 22 - 624
Pop 23 - 675
(Looks like 20 + 4+12+20+28+36+44+52...etc///increases by 8 each time)
Free Virtues do NOT increase the

you need for the next virtue.
Virtue 1 - 20

Virtue 2 - 24
Virtue 3 - 36

Virtue 4 - 56
Virtue 5 - 84

Virtue 6 - 120
Virtue 7 - 164

(in game
I got this one for free)
Virtue 8 - 147 (with -10%

Cohesive Values)
Virtue 9 - 194 (with -10%

Cohesive Values)
Virtue 10 - 248 (with -10%

Cohesive Values)
Virtue 11 - 309 (with -10%)
Virtue 12 - 378 (with -10%)
Virtue 13 - 453 (with -10%)
Virtue 14 - 536 (with -10%)
Virtue 15 - 626 (with -10%)
Virtue 16 - 723 (with -10%)
Virtue 17 - 828 (with -10%)
Virtue 18 - 939 (with -10%)
Virtue 19 - 1058 (with -10%)
Virtue 20 - 1184 (with -10%)
Virtue 21 - 1317 (with -10%)
Virtue 22 - 1458 (with -10%)
Wow, my Tier 1 Synergy bonus free Virtue didn't increase the Virtue

amount

Virtue 8 is what Virtue 7 should cost, and -10% because of Cohesive Values Virtue.
To reach Affinity___, you need this many XP:
Affinity 1 - 11 points
Affinity 2 - 12 points
Affinity 3 - 13 points
Affinity 4 - 14 points
Affinity 5 - 16 points
Affinity 6 - ?? points
Affinity 7 - ?? points
Affinity 8 - 19 points
Affinity 9 - 20 points
Affinity 10 - 21 points
Affinity 11 - ?? points
Affinity 12 - 23 points
Affinity 13 - 24 points
Affinity 14 - 26 points
Affinity 15 - 27 points
Affinity 16 - 28 points
GGMoyang has a nice
Building Quest Guide if you want to see what extra goodies a building can give you.
http://forums.civfanatics.com/showthread.php?t=534847