It’s time for our weekly roundup of the best new iPhone and iPad apps and games to have emerged on Apple’s App Store.

As ever, prices are correct at the time of writing, but may have changed by the time you read this. (Free + IAP) means in-app purchases are used within the app.

Want more apps? Browse previous Best iPhone and iPad apps roundups on The Guardian. And if you’re looking for Android apps instead, browse the archives of the weekly Best Android Apps roundups.

APPS

Drinkaware: Track and Calculate Units (Free)
Quantification of the booze-cabinet shelf, anyone? This app is a really good idea: a way to track your drinking habits, released by charity The Drinkaware Trust. You tap in what you’re quaffing and it tracks your habits over time, with the ability to set goals if you’re trying to reduce your intake.
iPhone

Sago Mini Friends (£1.99)
This is the latest well-crafted children’s app from studio Sago Sago, aimed at preschoolers. It features five colourful animal friends going on virtual playdates, from making snacks to dressing up.
iPhone / iPad

Collins Bird Guide (£12.99 + IAP)
If you’re a birdwatcher – however committed – this new app deserves a slot on your iOS homescreen. It’s an app version of the Collins Bird Guide, with information on more than 700 species, complete with songs and calls. In-app purchases can buy you a Bird Atlas maps pack, as well as a video library.
iPhone / iPad

Fantasy Premier League 2014/15 (£1.49)
Some players are grumbling at having to pay again for the new season’s app, but if you play the FA’s official football fantasy league for the English Premier League, it’s a very handy companion for picking your team, reviewing its performance, and getting alerts on in-game events.
iPhone

Cucalu (£1.49)
Cucalu is certainly intriguing, sitting somewhere between a photography app and a game. You complete pictorial missions, exploring shapes (squares, triangles and circles) in the real world, and sharing your snaps with the Cucalu community.
iPhone

Humin - Phone and Contacts (Free)
Humin is only available in the US for now, but there’s plenty of buzz around it: a replacement for iPhone’s default Phone app, which tries to offer a smarter take on contacts, providing more context for everyone in your digital phonebook. Usual caveats for a free app like this apply though: will the developer be trying to make money from your personal data, or will it sell up and shut down just as you’re getting used to it?
iPhone

Hanx Writer (Free + IAP)
I can think of plenty of ways to improve typing on an iOS device, but making it more like a manual typewriter wasn’t one of them. Still, Tom Hanks – yes, THE Tom Hanks – has launched this click-clacky app, with extra typewriter skins available as in-app purchases.
iPad

Gamar (Free)
It’s early days for this app, but it’s a really interesting way to explore London venues, starting off with the British Museum and National Maritime Museum. It’s part game and part augmented-reality education app, setting challenges completed by exploring the real-world exhibits.
iPhone / iPad

The Art of Thinking Clearly (£1.49)
In its book form, The Art of Thinking Clearly has sold more than a million copies. Now it’s an app, promising no-nonsense advice on your real-life decisions, from money and work to people. You answer questions to uncover “cognitive biases” that may lead you down the wrong path.
iPhone / iPad

Yahoo Fantasy Football (Free)
Yahoo’s new app is a fantasy football game that breaks the mould by looking beyond the (English) Premier League: the top divisions from Spain, Italy, Germany and France are also included. It ties in to Yahoo’s web-based fantasy competition.
iPhone

GAMES

Rules! (£1.49)
If you’ve enjoyed number-puzzler Threes! but are tiring of its charms, Rules! may be your next fix. Made by Carcassonne developer TheCodingMonkeys, it’s an addictive puzzler across 100 levels, with lovingly-crafted graphics to enjoy as you follow the rules of each puzzle to solve it.
iPhone

Godus (Free + IAP)
Godus is the long-anticipated new game from veteran developer Peter Molyneux, and while some pro reviewers have hated it, its App Store reviews are strong. Decide for yourself: you play God, moulding a land to help a band of followers build a mighty civilisation. Slow pacing, perhaps, but it does open up over time.
iPhone / iPad

Time Tangle - Adventure Time (£1.99)
The Adventure Time TV show remains marvellous, and it’s already spawned an equally-fun pair of mobile games in Card Wars and Ski Safari: Adventure Time. Time Tangle looks their equal: a characteristically-colourful action game: “Run, punch, rinse, repeat...”
iPhone / iPad

Champ Man 15 (Free + IAP)
Publisher Square Enix has reinvented Championship Manager as a free-to-play mobile game, with this the latest annual instalment. It’s better than last year’s (already pretty good) version, making it easy to dive in to the nuts and bolts of virtual management. I’m still more a Football Manager Handheld man, but this is providing valuable competition.
iPhone / iPad

Jacob Jones and the Bigfoot Mystery : Episode 2 (£1.49 + IAP)
The first episode of this adventure-puzzler was rightfully acclaimed on iOS, and the sequel looks just as good. It sees you trying to uncover the secrets of the Bigfoot (or Biggie, as he’s known) through a collection of fun, tactile puzzles. It’s genuinely funny, too – still a rarer quality than it should be in games.
iPhone / iPad

Phoenix Wright: Ace Attorney – Dual Destinies (Free + IAP)
Frankly, the Phoenix Wright games are looking a little clunky nowadays, plot and interface included. But the DS (and now iOS) games still have a lot of charm, with this latest version porting five episodes of legal-eagle action, as you hunt for clues then make your case in court.
iPhone / iPad

Dragon Quest IV (£10.49)
Here’s Square Enix with its latest retro reboot: roleplaying game Dragon Quest IV. If you harbour fond memories of the original game, you’ll love wallowing in nostalgia: it’s a faithful port. Its high price (for mobile games) may put off newer adventurers, though.
iPhone / iPad

Touch Racing 2 (Free + IAP)
Race cars and boats in this high-speed sequel, which is the latest racing game to focus on remote-controlled rather than full-size vehicles. There’s an inventive control system, plenty of scope to upgrade your motors (or motorboats) and a choice of solo and multiplayer modes.
iPhone / iPad

WWE SuperCard (Free + IAP)
The sight of two 2D playing cards battling in the ring is a little disconcerting, but if you’re a fan of American wrestling, the latest WWE game has plenty to sink your teeth into (when the referee’s not looking, of course). It’s a card-battler where you build a five-person team, then kit them out with moves to take on other players.
iPhone / iPad

Pako - Car Chase Simulator (£0.69)
There should be more games based on car chases: indie title Pako shows how fun the results can be. You have to see how long you can stay ahead of pursuers in five locations, with cute papercut-ish graphics showing off your tactics.
iPhone / iPad

Those are our picks, but what have you been enjoying on iOS this week? Post your recommendations (or feedback on these) in the comments section.

• 40 best iPhone and iPad games this year (so far)