What acoustic sound are you in love with? Classical? James Taylor type stuff? Country? No, you own an Ibanez electric, so it couldn't be Country.
Here's some specifics regardless though.
1. A solid top is superior in tone and volume to a laminate top. Makers and retailers are quite crafty in describing laminate tops, which include the following:
All spruce
100% spruce
Vintage spruce
Vintage toned spruce
Classic spruce
Natural spruce
etc.
A guitar will ONLY have a solid top if the WORD 'solid' is in front of the species of wood, ie., solid spruce top, solid cedar top, etc.
2. Tone woods do make a difference. Spruce is better suited for hard strumming and cedar is better for fingerpicking, in VERY general terms.
3. Body size and shape are key in getting the tone you want. Do want deep, punchy, bass? Get a dreadnought. Do you want as much bass as you can get but more sitting down playing comfort than a dreadnought? Get a grand auditorium. Do you want something that accentuates the melody lines and individual notes of flat picking or fingerpicking? Get a folk or 000 or even a parlor sized guitar.
All kinds of options. The place to start is what specifically do YOU want the guitar to do and sound like.